chapter 3 - sets - exercise

Mathematics Form 4 Lesson 16: Set

Learning Area:1. Sort given objects into groups 2.Define sets by: i) description ii) using set notation 1 / 5

QUESTION 1Question:Sort the given objects into three groups.Dog, eagle, cat, house fly, cow, mosquito, ant, sparrow and kingfisher.

Solution:

QUESTION 2

Question:The numbers of pupils in each form 4 class in S.M. Taman Puteri are 37, 35, 39, 37, 36, 38 and 35.Write the set above by:

a) Descriptionb) Using set notation.

Solution:

ACTIVITY SHEETPupils copy



QUESTION 3

Question:December, April, March, May, January, June, July and February.Write the set above by:


Solution:

QUESTION 4

Question:Use set notation to write the sets given below.

a) Set of even numbers from 10 to 20b) Set of odd numbers from 20 to 30c) Set of positive integers that is less than 6.

Solution:



QUESTION 5

Question:Write the following sets in the form of A = {x : a x b, x is a whole number}

a) P = {4, 5, 6, , 12}b) Q = {11, 12, 13, , 20}c) R = {2, 3, 5, 7, 11, 13}d) S = {1, 3, 5, , 13}e) T = {2, 4, 6, , 12}

Solution:



QUESTION 1

Question:Sort the given objects into three groups.Dog, eagle, cat, house fly, cow, mosquito, ant, sparrow and kingfisher.

Solution:a) Set of animals = {dog, cat, cow}b) Set of insects = {house fly, mosquito, ant}c) Set of birds = {eagle, sparrow, kingfisher}

QUESTION 2

Question:The numbers of pupils in each form 4 class in S.M. Taman Puteri are 37, 35, 39, 37, 36, 38 and 35.Write the set above by:

c) Descriptiond) Using set notation.

Solution:a) Set of numbers of pupils in form 4 classes in S.M. Taman Puterib) A = {37, 35, 39, 37, 36, 38, 35}

QUESTION 3

Question:December, April, March, May, January, June, July and February.Write the set above by:


Solution:a) Set of months in a year.b) B = {December, April, March, May, January, June, July, February}

ACTIVITY SHEETTeachers copy



QUESTION 4

Question:Use set notation to write the sets given below.

a) Set of even numbers from 10 to 20b) Set of odd numbers from 20 to 30c) Set of positive integers that is less than 6.

Solution:a) E = {10, 12, 14, 16, 18, 20}b) O = {21, 23, 25, 27, 29}c) P = {1, 2, 3, 4, 5}

QUESTION 5

Question:Write the following sets in the form of A = {x : a x b, x is a whole number}

a) P = {4, 5, 6, , 12}b) Q = {11, 12, 13, , 20}c) R = {2, 3, 5, 7, 11, 13}d) S = {1, 3, 5, , 13}e) T = {2, 4, 6, , 12}

Solution:a) P = {x : 4 x b12, x is a whole number}b) Q = {x : 11 x 20, x is a whole number}c) R = {x : 2 x 13, x is a prime number}d) S = {x : 1 x 13, x is a odd number}e) T = {x : 2 x 12, x is a even number}

Mathematics Form 4 Lesson 17: Elements of a set.

Learning Area: Identify whether a given object is a element of a set and use the symbol or

1 / 6

QUESTION 1Question:Determine if the sports given are the element of A = {sports competed in the MSSM}

a) Footballb) Basketballc) Badmintond) Table tennise) Tennisf) Squash

Solution:




2 / 6

QUESTION 2

Question:Determine if the months given are the element of Q = {Months in a year which have 31 days}

a) Januaryb) Februaryc) Marchd) Aprile) Mayf) June

Solution:

QUESTION 3

Question:Determine if the numbers given are the element of Y = {x : 1 x 20, x is a multiple of 3}Write the set above by:

a) 1b) 6c) 15d) 17e) 19f) 21

Solution:



3 / 6

QUESTION 4

Question:Determine if the numbers given are the element of R = {x : 10 x 10, x is a positive integer}

a) 10b) 5c) 0d) 5e) 10

Solution:

QUESTION 5

Question:Determine if the statement given below is True or False.

a) R {alphabets of the word ROUGH}b) 7 {prime numbers}c) 0 {positive integers}d) Malaysia {countries in Asean}e) 20 {multiple of 4}

Solution:



4 / 6

QUESTION 1

Question:Determine if the sports given are the element of A = {sports competed in the MSSM}

a) Footballb) Basketballc) Badmintond) Table tennise) Tennisf) Squash

Solution:a) Football is an element of set A.b) Basketball is an element of set A.c) Badminton is an element of set A.d) Table tennis is an element of set A.e) Tennis is an element of set A.f) Squash is an element of set A.

QUESTION 2

Question:Determine if the months given are the element of Q = {Months in a year which have 31 days}

a) Januaryb) Februaryc) Marchd) Aprile) Mayf) June

Solution:a) January is an element of set Q.b) February is not an element of set Q.c) March is an element of set Q.d) April is not an element of set Q.e) May is an element of set Q.f) June is not an element of set Q.




5 / 6

QUESTION 3

Question:Determine if the numbers given are the element of Y = {x : 1 x 20, x is a multiple of 3}by usingthe symbol or .

a) 1b) 6c) 15d) 17e) 19f) 21

Solution:a) 1 Yb) 6 Yc) 15 Yd) 17 Ye) 19 Yf) 21 Y

QUESTION 4

Question:Determine if the numbers given are the element of R = {x: 10 x 10, x is a positive integer} byusing the symbol or .

a) 10b) 5c) 0d) 5e) 10

Solution:a) 10 Rb) 5 Rc) 0 Rd) 5 Re) 10 R



6 / 6

QUESTION 5

Question:Determine if the statement given below is True or False.

a) R {alphabets of the word ROUGH}b) 7 {prime numbers}c) 0 {positive integers}d) Malaysia {countries in Asean}e) 20 {multiple of 4}

Solution:a) R {alphabets of the word ROUGH}(True)b) 7 {prime numbers}(False)c) 0 {positive integers}(True)d) Malaysia {countries in Asean}(True)e) 20 {multiple of 4}(True)

Mathematics Form 4 Lesson 18: Sets representations using Venn diagrams.

Learning Area: Represent sets by using Venn diagrams. 1 / 6

QUESTION 1Question:Given that P = {1, 2, 3, 4, 5}. Represent set P by using a Venn diagram

Solution:

QUESTION 2

Question:If D = {x : 1 x 10, x is an odd number}, can you draw a Venn diagram to represent the elementsin this set?

Solution:




QUESTION 3

Question:If R = {x : 30 x 40, x is a multiple of 3}, can you draw a Venn diagram to represent the elementsin this set?

Solution:

QUESTION 4

Question:If T = {x : 30 x 50, x is a multiple of 5 and 10}, can you draw a Venn diagram to represent theelements in this set?

Solution:



QUESTION 5

Question:If M = {states of Malaysia}, can you draw a Venn diagram to represent the number of elements inthis set?

Solution:



QUESTION 1

Question:Given that P = {1, 2, 3, 4, 5}. Represent set P by using a Venn diagram

Solution:

QUESTION 2

Question:If D = {x : 1 x 10, x is an odd number}, can you draw a Venn diagram to represent the elementsin this set?

Solution:


P 1

5

2

3

4

D 1

9

3

5

7



QUESTION 3

Question:If R = {x : 30 x 40, x is a multiple of 3}, can you draw a Venn diagram to represent the elementsin this set?

Solution:

QUESTION 4

Question:If T = {x : 30 x 50, x is a multiple of 5 and 10}, can you draw a Venn diagram to represent theelements in this set?

Solution:

R 30 33

36 39

T 30 40

50



QUESTION 5

Question:If M = {states of Malaysia}, can you draw a Venn diagram to represent the number of elements inthis set?

Solution:

M14

Mathematics Form 4 Lesson 19: Number of elements of a set and an empty set.

Learning Area: 1. List the elements and state the number of elements of a set,2. Determine whether a set is an empty set. 1 / 5

QUESTION 1


Question:A is the set of letters in the word TELECOMUNICATION. List the elements of set A and state thenumber of elements.

Solution:

QUESTION 2

Question:S is the set of multiples of 4 less than 20 that can be divided by 11. List the elements of number of set S.How many elements in it?

Solution:

QUESTION 3

Question:Given that Y is the Number of elements of a set and empty set of letters in the word ACTIVITIES.

(a) List the elements of set Y.(a) State the number of elements of set Y.

Solution:

QUESTION 4

Question:M is the set of the months in a year with 31 days. List the elements of set M and state the number of itselements.

Solution:

QUESTION 5

Question:Given that set A is the set of prime numbers that are less than 0. Determine whether Number of elementsof a set and empty set A is an empty set.

Solution:



QUESTION 6Question:Given that set B is the set of the factors of 12. Determine whether Number of elements of a set andempty set B is an empty set.

Solution:

QUESTION 7

Question:Given that set D is the set of even numbers less than 10. Determine whether number of elements ofa set and empty set D is an empty set.

Solution:

QUESTION 8

Question:Determine whether Q is an empty set given that set Q = {x: x is prime number and 11 < x < 20}.

Solution:

QUESTION 9

Question:X is the set of common multiples of 2 and 3 which are less than 5. Is set X an empty set?

Solution:

QUESTION 10

Question:Determine whether T is an empty set given that set T = {x: x is factor of 3 and 1 < x < 10}

Solution:



QUESTION 1

Question:A is the set of letters in the word TELECOMUNICATION. List the elements of set A and state thenumber of elements.

Solution:A = {T, E, L, C, O, M, U, N, I, A, T,}n(A) = 11

QUESTION 2

Question:S is the set of multiples of 4 less than 20 that can be divided by 11. List the elements set S. Howmany elements in it?

Solution: S = {}n(S) = 0

QUESTION 3

Question:Given that Y is the Number of elements of a set and empty set of letters in the word ACTIVITIES.

(b) List the elements of set Y.(b) State the number of elements of set Y.

Solution:Y = {A, C, T, I, V, E, S}n(Y) = 7

QUESTION 4

Question:M is the set of the months in a year with 31 days. List the elements of set M and state the number ofits elements.

Solution:M = {January, March, May, July, August, October, December}n(M) = 7




QUESTION 5

Question:Given that set A is the set of prime numbers that are less than 0. Determine whether Number ofelements of a set and empty set A is an empty set.

Solution:A = { }Set A is an empty set.

QUESTION 6Question:Given that set B is the set of the factors of 12. Determine whether Number of elements of a set andempty set B is an empty set.

Solution:B = {1, 2, 3, 4, 6, 12}Set B is no an empty set.

QUESTION 7Question:Given that set D is the set of even numbers less than 10. Determine whether Number of elements of aset and empty set D is an empty set.

Solution:D = {2, 4, 6, 8}Set D is not an empty set.

QUESTION 8Question:Determine whether Q is an empty set given that set Q = {x: x is prime number and 11 < x < 20}.

Solution:Q = {13, 17, 19}Set Q is not an empty set.

QUESTION 9

Question:X is the set of common multiples of 2 and 3 which are less than 5. Is set X an empty set?

Solution:X = { }Set X is an empty set.



QUESTION 10

Question:Determine whether T is an empty set given that set T = {x: x is factor of 3 and 1 < x < 10}

Solution:T = {3}Set T is not an empty set.

Mathematics Form 4 Lesson 20: Equal sets.

Learning Area: Determine whether two sets are equal. 1 / 6

QUESTION 1


Question:A = { , , , }B = { , , , }Determine if sets A and B are equal.

Solution:

QUESTION 2

Question:C = { , , , }D = { , , , }Determine if sets C and D are equal.

Solution:

QUESTION 3

Question:E = { , , , }F = { , , , }Determine if sets E and F are equal.

Solution:

QUESTION 4

Question:P = {x : x is an odd number, 11 x 20}Q = {11, 13, 15, 17, 19}Are sets P and Q equal?

Solution: .



QUESTION 5

Question:X = {multiples of 2 which are between 10 and 20}Y = {Even numbers between 10 and 20}Are sets X and Y equal?

Solution:

QUESTION 6

Question:S = {x : x is a prime number, 1 x 10}T = {x : x is an odd number, 1 x 10}Are sets S and T equal?

Solution:

QUESTION 7

Question:V = {x : x is a prime number, 11 x 20}U = {11, 13, 17, 19}Are sets V and U equal?

Solution:

QUESTION 8

Question:Determine whether sets G and H are equal if set G is equal to common factors of 2 while H is evennumbers which are less than 10.

Solution:



QUESTION 9

Question:W = {vowels in the word STRAIGHT}V = {vowels in the word BAIT}Are sets W and V equal?

Solution:

QUESTION 10

Question:K = {A, B, O, R, T}L = {A, B, U, R, T}Are sets K and L equal?

Solution:



QUESTION 1


Question:A = { , , , }B = { , , , }Determine if sets A and B are equal.

Solution: A = B

QUESTION 2Question:C = { , , , }D = { , , , }Determine if sets C and D are equal.

Solution: C D

QUESTION 3Question:

E = { , , , }F = { , , , }Determine if sets E and F are equal.

Solution: E = F

QUESTION 4Question:P = {x : x is an odd number, 11 x 20}Q = {11, 13, 15, 17, 19}Are sets P and Q equal?

Solution:P = {11, 13, 15, 17, 19}Q = {11, 13, 15, 17, 19}P = Q



QUESTION 5Question:X = {multiples of 2 which are between 10 and 20}Y = {Even numbers between 10 and 20}Are sets X and Y equal?

Solution:X = {12, 14, 16, 18}Y = {12, 14, 16, 18}X = Y

QUESTION 6Question:S = {x : x is a prime number, 1 x 10}T = {x : x is an odd number, 1 x 10}Are sets S and T equal?

Solution:S = {2, 3, 5, 7}T = {1, 3, 5, 7, 9}S T

QUESTION 7Question:V = {x : x is a prime number, 11 x 20}U = {11, 13, 17, 19}Are sets V and U equal?

Solution:V = {11, 13, 17, 19}U = {11, 13, 17, 19}V = W

QUESTION 8Question:Determine whether sets G and H are equal if set G is equal to common factors of 2 while H is evennumbers which are less than 10.

Solution:G = {1, 2}H = {2, 4, 6, 8}G H



QUESTION 9Question:W = {vowels in the word STRAIGHT}V = {vowels in the word BAIT}Are sets W and V equal?

Solution:W = {A, I}V = {A, I}W = V

QUESTION 10Question:K = {A, B, O, R, T}L = {A, B, U, R, T}Are sets K and L equal?

Solution:K L

Mathematics Form 4 Lesson 21: Subset.

Learning Area: Determine whether a given set is a subset of a specific set and use the symbol or . 1 / 7

QUESTION 1


Question:A = { , , , }B = { , , }Determine if set B is a subset of set A.

Solution:

QUESTION 2

Question:C = { , , , }D = { , , , }Determine if set D is a subset of set C.

Solution:

QUESTION 3

Question:E = { , , , }F = { , , , }Determine if set F is a subset of set E

QUESTION 4

Question:S = {a : a is an odd number, 1 a 10}T = {1,5, 7}Is set T a subset of set S?

Solution: .



QUESTION 5

Question:G = {multiples of 5 which are between 10 and 30}H = {Even numbers between 10 and 20}Is set H a subset of set G?

Solution:

QUESTION 6

Question:P = {x : x is a prime number, 1 x 10}Q = {3, 7}Is set Q a subset of set P?

Solution:

QUESTION 7

Question:M = {x : x is a prime number, 11 x 20}N = {11, 13, 17}Is set N a subset of set M?

Solution:

QUESTION 8

Question:Determine whether set R is a subset of set S if set R is equal to common factors of 2 while set S iseven numbers which are less than 10.

Solution:



QUESTION 9

Question:X = {vowels in the word TROUGH}Y = {vowels in the word TOUGH}Is set Y a subset of set X?

Solution:

QUESTION 10

Question:V = {SECONDARY}U = {DRY}Is set U a subset of set V?

Solution:



QUESTION 1


Question:A = { , , , }B = { , , }Determine if set B is a subset of set A.

Solution: B A

QUESTION 2Question:C = { , , , }D = { , , , }Determine if set D is a subset of set C.

Solution: D C

QUESTION 3Question:E = { , , , }F = { , , , }Determine if set F is a subset of set E

Solution: F E

QUESTION 4Question:S = {a : a is an odd number, 1 a 10}T = {1,5, 7}Is set T a subset of set S?

Solution:S = {1, 3, 5, 7, 9}T = {1, 5, 7}T S



QUESTION 5Question:G = {multiples of 5 which are between 10 and 30}H = {Even numbers between 10 and 20}Is set H a subset of set G?

Solution:G = {15, 20 25}H = {12, 14, 16, 18}H G

QUESTION 6Question:P = {x : x is a prime number, 1 x 10}Q = {3, 7}Is set Q a subset of set P?

Solution:P = {2, 3, 5, 7}Q = {3, 7}Q P

QUESTION 7Question:M = {x : x is a prime number, 11 x 20}N = {11, 13, 17}Is set N a subset of set M?

Solution:M = {11, 13, 17, 19}N = {11, 13, 17}N M

QUESTION 8Question:Determine whether set R is a subset of set S if set R is equal to common factors of 2 while set S iseven numbers, which are less than 10.

Solution:R = {1, 2}S = {2, 4, 6, 8}R S



QUESTION 9Question:X = {vowels in the word TROUGH}Y = {vowels in the word TOUGH}Is set Y a subset of set X?

Solution:X = {O, U}Y = {O, U}Y X

QUESTION 10Question:V = {SECONDARY}U = {DRY}Is set U a subset of set V?

Solution:U V

Mathematics Form 4 Lesson 22: Subsets representations using Venn diagrams.

Learning Area: 1. Represent subsets by using Venn diagrams.2. List the subsets for specific set. 1 / 4

QUESTION 1Question:Given that P = {1, 2, 3, 4, 5} and Q = {1, 3, 5}. Show the relationship between sets P and Q using aVenn diagram

Solution:

QUESTION 2

Question:If A = {x : 1 x 10, x is an even number} and B = {2, 4, 6}, can you draw a Venn diagram torepresent the relationship between these two sets?

Solution:




QUESTION 3

Question:List all the subsets of set M in the diagram shown below.

Solution:

QUESTION 4

Question:If R = {x : 30 x 50, x is a multiple of 5 and 10}, can you list all the subsets for this set?

Solution:

QUESTION 5

Question:If T = {1, 2, 3, 4, 5}, can you list all the subsets of set T which contain three elements?

Solution:

M

1

5 3

6

4

2



QUESTION 1

Question:Given that P = {1, 2, 3, 4, 5} and Q = {1, 3, 5}. Show the relationship between sets P and Q using aVenn diagram

Solution:

QUESTION 2

Question:If A = {x : 1 x 10, x is an even number} and B = {2, 4, 6}, can you draw a Venn diagram torepresent the relationship between these two sets?

Solution:


P

1

5

2

3

4

A

2

8

4 6

10

Q

B



QUESTION 3

Question:List all the subsets of set M in the diagram shown below.

Solution:M = {1, 2, 3, 4}The subsets of set M are:{ } {1} {2} {3} {4} {1, 2} {1, 3} {1, 4} {2, 3} {2, 4} {3, 4}{1, 2, 3} {1, 2, 4} {2, 3, 4} {1, 3, 4}{1,2,3,4}

QUESTION 4

Question:If R = {x : 30 x 50, x is a multiple of 5 and 10}, can you list all the subsets for this set?

Solution:R = {30, 40, 50}The subsets of set R are:{ } {30} {40} {50}{30, 40} {30, 50} {40, 50}{30,40,50}

QUESTION 5

Question:If T = {1, 2, 3, 4, 5}, can you list all the subsets of set T which contain three elements?

Solution:The subsets of set T which contain three elements are:{1, 2, 3} {1, 2, 4} {1, 2, 5} {2, 3, 4} {2, 3, 5}{3, 4, 5} {1, 3, 4} {1, 3, 5} {1, 4, 5} {2, 4, 5}

M

1

3 4

2

Mathematics Form 4 Lesson 23: Set, universal set and the compliment of a given set.

Learning Area: 1. Ilustrate the relationship between set and universal set using Venndiagram.

2. Determine the complement of a given set. 1 / 4

QUESTION 1

Question:Given that = {pupils of S.M. Puteri} and Q = {male pupils of S.M. Puteri}. Show the relationshipbetween sets and Q using a Venn diagram

Solution:

QUESTION 2

Question:If = {x : 1 x 10, x is a prime number} and B = {2, 3}, can you draw a Venn diagram torepresent the relationship between these two sets?

Solution:





QUESTION 3

Question:Determine the complement of set M in the diagram shown below.

Solution:

QUESTION 4

Question:If = {x : 1 x 10, x is a multiple of 2} and A = {4, 6}, can you determine the complement of setA?

Solution:

QUESTION 5

Question:If = {A, B, C, D, E, F} and R = {D, E, F}, can you determine the complement of set R?

Solution:

M

1

5 3

6

4

2

9

10

7

8




QUESTION 1

Question:Given that = {pupils of S.M. Puteri} and Q = {male pupils of S.M. Puteri}. Show the relationshipbetween sets and Q using a Venn diagram

Solution:

QUESTION 2

Question:If _ = {x : 1 x 10, x is a prime number} and B = {2, 3}, can you draw a Venn diagram torepresent the relationship between these two sets?

Solution:


2

7

3

5

Q

B 1




QUESTION 3

Question:Determine the complement of set M in the diagram shown below.

Solution:M= {7, 8, 9, 10}

QUESTION 4

Question:If = {x : 1 x 10, x is a multiple of 2} and A = {4, 6}, can you determine the complement of setA?

Solution: = {2, 4, 6, 8, 10}A = {4, 6}A = {2, 8, 10}

QUESTION 5

Question:If = {A, B, C, D, E, F} and R = {D, E, F}, can you determine the complement of set R?

Solution:R = {A, B, C}

M

1

5 3

6

4

2

9

10

7

8

1Determine the Relationship between Set, Subset, Universal Set and theComplement of a Set

Class Activity 1

Lesson:Class: Date:

Instructions:1. In this activity, there are two doors with two different Venn diagrams on them.2. First, choose one of the Venn diagrams.3. Then, cut the elements of the sets by using a pair of scissors.4. Decide on the place where you should stick the elements.5. Take the statement sheet after you have done the placement correctly.6. Mark T if you think that the statement is true7. Mark F if you think that the statement is false.

2SHEET 1

{ }{ }{ }44,41,37,35,33,25,22,19,17,15,11

44,33,25,22,19,17,15,11

44,33,22,11

=

=

=

W

X

SHEET 2

4441373533252219171511

SHEET 3

X

W

WX

XW T F

T F

T F

T F

X

W

_ _

__

_

_

_

_

_

?_

_

The Concepts and the Intersection of Sets Class Activity

Lesson:Class: Date:

Instruction:1. In this activity, there are two types of problems, a problem with 2 sets

and a problem with 3 sets.2. First, choose one of the problem types.3. Then, write the sets based on your problem type.4. Determine whether they have any elements in common.5. Finally write the intersection of these sets based on the common

elements of the sets.

SHEET 1 FOR PROBLEM WITH 2 SETS

1) What is the intersection of set A and set B?A = {}B = {...........}

AB =


AB =


AB =


AB =


AB =


AB =


AB =

SHEET 1 FOR PROBLEM WITH 3 SETS

1)What is the intersection of set A, set B and set C?A = {}B = {...........}C = {...........}

A B C =

2)What is the intersection of set A, set B and set C?A = {}B = {...........}C = {...........}

A B C =

3)What is the intersection of set A, set B and set C ?A = {}B = {...........}C = {...........}

A B C =

4)What is the intersection of set A , set B and set C?A = {}B = {...........}C = {...........}

A B C =


A B C =


A B C =

Mathematics Form 4 Lesson 26: The intersection of sets representations and A B and A and B.

Learning Area: 1. Represent the intersection of sets using Venn diagram.2. State the relationship between i) AB and A, ii) AB and B 1 /6

QUESTION 1

Question:Given that A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7, 8}. Show the relationship between sets A and Busing a Venn diagram

Solution:




QUESTION 2

Question:If P = {x : 20 x 50, x is a multiple of 10} and Q = {10, 20, 30}, can you represent theintersection of the two sets using a Venn diagram?

Solution:

QUESTION 3

Question:Given the Venn diagram below, determine the relationship between A B and A.

Solution:

A

1

5 3 6

4

2 9

10

7 8

B



QUESTION 4

Question:If R = {x : 1 x 10, x is a prime number} and S = {2, 3, 7}, can you represent the intersection ofthe two sets using a Venn diagram?

Solution:

QUESTION 5

Question:Given that C = {a, b, c, x, y, z} and D = {x, y, z}. Show the relationship between sets A and B usinga Venn diagram

Solution:



QUESTION 1

Question:Given that A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7, 8}. Show the relationship between sets A and Busing a Venn diagram

Solution:


Q 2

1 3

4

5

6

7

8



QUESTION 2

Question:If P = {x : 20 x 50, x is a multiple of 10} and Q = {10, 20, 30}, can you represent theintersection of the two sets using a Venn diagram?

Solution:

QUESTION 3

Question:Given the Venn diagram below, determine the relationship between AB and A.

Solution:The relationship between AB and A is AB is a subset of set A.

Q

40 30

50

P 20

A 1

5 3 6

4

2 9

10

7 8

B

10



QUESTION 4

Question:If R = {x : 1 x 10, x is a prime number} and S = {2, 3, 7}, can you represent the intersection ofthe two sets using a Venn diagram?

Solution:

QUESTION 5

Question:Given that C = {a, b, c, x, y, z} and D = {x, y, z}. Show the relationship between sets A and Busing a Venn diagram

Solution:

R

1

3

2 5

7

S

C

a

y

x

b z

D

c

C

a

y

x

b z

D

c

Or

The Complement of the Intersection of SetsClass Activity

Lesson: 27

Instructions:1. In this activity, there are 4 questions related with sets.2. Begin with one of the questions.3. Then, find the elements of the complement of the intersection of sets.

(M N Q) = ? (M N) = ? (N Q) = ? (M Q) = ?

M N

Q

_a_2

_f

_h

_1

_7

_c

_6_z

_9

_g

Problems on the intersection of setsClass Activity

Lesson: 28

Instructions:1. In this activity, there are 5 questions related with the same givens in the activity.2. Try to answer each question and write your answers into the boxes.

W : Set of applicants good at MS WordE : Set of applicants good at MS ExcelP : Set of applicants good at MS PowerPoint

P Wn(P) = 10n(W E) = 6n(E) = 16n( ) = 29

1. What could be the maximum value of n(W E P)?

2. If n(W E P) = 2, then n(E) = ?

3. Can W E P be an empty set?

4. n(P') = ?

5. Is n(E P) equal to n(W E P)?

Mathematics Form 4 Lesson 29: Union of two sets and three sets.

Learning Area: 1. Determine the union of: i) two sets ; ii) three sets;and use the symbol . 1 / 4

QUESTION 1

Question:Given that A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7, 8}. Can you determine the elements of the unionof set A and set B?

QUESTION 2

Question:If E = {x : 1 x 20, x is a prime number} and F = { y : 1 y 20, y is an odd number }, can youdetermine the elements of the union of set E and set F?

Solution:

QUESTION 3

Question:Given the Venn diagram below, determine the elements of the union of set X and set Y.

Solution:


X a

g d m

f

s p

k

j h



QUESTION 4

Question:If U = {a : 1 a 30, a is a multiple of 6}, V = {b : 1 b 30, b is a multiple of 5 } andW = {c : 1 a 30, a is a multiple of 4}, can you the determine elements of the union of set U, setV and set W?

Solution:

QUESTION 5

Question:Given that P = {a, b, c}, Q = {1, 2, 3} and R = {x, y, z}. Determine the elements of the union ofset P, set Q and set R?

Solution:



QUESTION 1

Question:Given that A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7, 8}. Can you determine the elements of the unionof set A and set B?

Solution:AB = {1, 2, 3, 4, 5, 6, 7, 8}

QUESTION 2

Question:If E = {x : 1 x 20, x is a prime number} and F = { y : 1 y 20, y is an odd number }, can youdetermine the elements of the union of set E and set F?

Solution:E = {1, 2, 3, 5, 7, 11, 13, 17, 19}F = {1, 3, 5, 7, 9, 11, 13, 15, 17, 19}EF = {1, 2, 3, 5, 7, 9, 11, 13, 15, 17, 19}

QUESTION 3

Question:Given the Venn diagram below, determine the elements of the union of set X and set Y.

Solution:The relationship between AB and A is AB is a subset of set A.


X a

g d m

f

s p

k

j h

Y



QUESTION 4

Question:If U = {a : 1 a 30, a is a multiple of 6}, V = {b : 1 b 30, b is a multiple of 5}andW = {c : 1 a 30, a is a multiple of 4}, can you the elements of the union of set U, set V andset W?

Solution:U = {4, 8, 12, 16, 20, 24, 28}V = {6, 12, 18, 24, 30}W = {5, 10, 15, 20, 25, 30} UVW = {4, 5, 6, 8, 10, 12, 15, 16, 18, 20, 24, 25, 28, 30}

QUESTION 5

Question:Given that P = {a, b, c}, Q = {1, 2, 3} and R = {x, y, z}. Determine the elements of the union ofset P, set Q and set R?

Solution:PQR = {a, b, c, 1, 2, 3, x, y, z}

Union of sets using Venn diagram

Class Activity 1

Lesson 30Class: Date:

Instruction:1. In this activity, you will be given a Venn diagram containing three sets and some statements

regarding the sets.2. Read the statement carefully.3. Shade the sections on the Venn diagram which match the given statement.

Question 1

Show A B C on the Venn diagram.

Question 2

Show A B C on the Venn diagram.Question 3


Question 4


Relationship Between A B and A and A B and B

Class Activity 1

Lesson:Class: Date:

Instruction:1. In this activity, you will be given a Venn diagram containing three sets and

some statements regarding the sets.2. Read the statement carefully.3. Shade the sections on the Venn diagram which match the given statement.

What is the relation between A C and A?Answer:

What is the relation between (C B) and C B?Answer:

Show A C on the Venn diagrams. Show (A C) A on the Venn diagram.

Show (C B) on the Venn diagram. Show C B on the Venn diagram.

Mathematics Form 4 Lesson 32: Problem solving involving union of sets.

Learning Area: 1. Determine the union of: i) two sets ; ii) three sets;and use the symbol and 1 / 4

QUESTION 1

Question:In a class, there are 16 pupils play chess and 25 pupils play monopoly. Given that there are only 10pupils plays both games, how many pupils are there in the class?

Solution:

QUESTION 2

Question:In a class of 35 pupils, 20 of them enjoy Mathematics, 25 of them enjoy Science. If 15 of the pupilsin that class enjoy both Mathematics and Science, how many pupils of that class do not enjoy bothsubjects?

Solution:




QUESTION 3

Question:Given that Mr Hisham sells newspaper to 50 families in Taman Wawasan. Twenty six of thesefamilies buy the English dailies, 23 buys the Malay dailies while 20 of them do not buy either theEnglish or Malay dailies. Determine the number of families that buy both the English and Malaydailies.Solution:

QUESTION 4

Question:Given that the numbers of candidate for the English oral examination in a class is 45. 20 pupilsscored A, 10 pupils scored B and the others scored C. Determine the number of pupils that scoredC, using the concept of union of sets.

Solution:



QUESTION 1

Question:In a class, there are 16 pupils play chess and 25 pupils play monopoly. Given that there are only 10pupils plays both games, how many pupils are there in the class?

Solution:The number of pupils in the class is equal to the number of elements in AB.n(AB) = n(A) + n(B) n(AB) = 16 + 25 10 = 31

QUESTION 2

Question:In a class of 35 pupils, 20 of them enjoy Mathematics, 25 of them enjoy Science. If 15 of the pupilsin that class enjoy both Mathematics and Science, how many pupils of that class do not enjoy bothsubjects?

Solution:Let F be the set of pupils in the class, M be the set of pupils that likes Mathematics, S be the set ofpupils that likes Science.Therefore, n(F) = n(M) + n(S) n(M S) + n(M S) 35 = 20 + 25 15 + n(M S) n(M S) = 35 20 25 + 15 = 5There are 5 pupils that do not like both the subject.




QUESTION 3

Question:Given that Mr Hisham sells news paper to 50 families in Taman Wawasan. Twenty six of thesefamilies buy the English dailies, 23 families buy the Malay dailies while 20 of them do not buyeither the English or Malay dailies. Determine the number of families that buy both the English andMalay dailies.

Solution:The number of families in Taman Wawasan that buy news paper [n(N)] from Mr Hisham is 50.The number of families in Taman Wawasan that buy the English dailies [n(E)] from Mr Hisham is26.The number of families in Taman Wawasan that buy the Malay dailies [n(M)] from Mr Hisham is26.The number of families in Taman Wawasan that buy the neither the dailies [n(O)] from Mr Hishamis 20. n(E) = n(N) + n(M) n(N M) + n(NM) 50 = 26 + 23 n(N M) + 20n(N M) = 69 50 = 19.

There are 19 families that buy both the enclish and Malay dailies from Mr Hisham.

QUESTION 4

Question:Given that the numbers of candidate for the English oral examination in a class is 45. 20 pupils gotA, 10 got B and the others got C. Determine the number of pupils that got C using the concept ofunion of sets.

Solution:Let P be the set of pupils in the class, A be the set of pupils that got A, B be the set of pupils thatgot B and C be the set of pupils that got C.n(P) = n(A B C) 45 = n(A) + n(B) + n(C) n(A B) n(A C) n(B C) + 2n(A B C)because a pupil can only have one grade therefore all the intersections are empty sets. 45 = 20 + 10 + n(C)n(C)= 45 30 = 15Therefore there are 15 pupils that have obtained C.

Relationship Between A B and A and A B and B

Class Activity


Instruction:1. In this activity, you will be given sets with combined operations and asked to

draw the representation in a Venn diagram.2. Read the statement carefully.3. Draw the sets in a Venn diagram which match the given sets.

( )

( )

( )[ ]( )[ ]( )[ ] ?

?

?

?

?

=

=

=

=

=

MCWn

WCMn

WCMn

WCMn

WMCn

IIUIIU

IU

IU

Problems on combined operations on setsClass Activity


Instruction:In this activity, you will find the corresponding representation of a given phrase using a Venn diagram.1. Shade the suitable regions in the Venn diagrams, to construct the representation set of the given

phrase.2. Write the mathematical expression of the phrase.

Phrase:Pupils in a class studying Math and Science.Show the set of students studying only Math oronly Science.

1.

Mathematical expression:

Phrase:Pupils in a class take Biology, Physics andChemistry. All students in the class take at least oneof these courses.Show the set of students taking only one course ortaking three of them.

2.

Mathematical expression:

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chapter 3 - sets - exercise

Documents

set of numbers

set of months

set of animals

use set notation

b set of insects

c set of birds

b set of odd numbers

c set of positive integers