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Exercise 1.1 1.Write the following in the set-tabular form

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1) Provinces set of names that begin with the letter " จ "………………………………………………………………………………………………..2)The set of vowels in the English alphabet ………………………………………………………………………………………………..3 ) the set of positive integers with double digits. ………………………………………………………………………………………………..4)The set of positive even number less than 10………………………………………………………………………………………………..5)The set of integer number greater than 100 ………………………………………………………………………………………………..6) The set of nagative integer greater than -100 ………………………………………………………………………………………………..7) { x/x is a integer greater than 3 and less than 10}

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………………………………………………………………………………………………..8) { x/x is a integer between 0 and 1}………………………………………………………………………………………………..9) The set of nagative integer greater than 5 ………………………………………………………………………………………………..2. What is the number of element in the following set 1) B = {1234} ……………………………………………………………..2) C = {a,b,c,de,f,gh,ijk}…………………………………………………………..3D = {x/x is a positive number between 10 and 20}………………………………………..4) G= {x/x is a positive number less than 0} ………………………………………..3.Write the following in the set-builder form 1) N={1,3,5}………………………………………………………………………………………………..

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2) P = {…,-2,-1,0,1,2,…} ………………………………………………………………………………………………..3) R ={1,4,9,16,25,36,…} ………………………………………………………………………………………………..4) T={10,20,30,…} ………………………………………………………………………………………………..

4.Which of the following are finite or infinite set? 1) {x/x is a ever integer numbers} ………………………………………………………………………………………………..2. {1,2,3,…,100} ………………………………………………………………………………………………..3 ){x /x=1

n,n is natural number }

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………………………………………………………………………………………………..4 ){x /x=1

n, n is natural number less than 999}

………………………………………………………………………………………………..5) {x/x is a integer multiple of 3} ………………………………………………………………………………………………..6) {x/x is a integer multiple of 3 and less than 200} ………………………………………………………………………………………………..5)Which of the following are empty sets? 1) {x/x is a positive integer between 3 and 4 ………………………2) {x/x is a integer greater than 1 but less than 2} ………………………3) {x/x is a prime number greater than 3 but less than 10} ………………………6.Which of the following represent a pair of equal 1) A = { x/x letters in the word “กรรมกร ” }

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B = { x/x letters in the word “มรรคา ” }

C = { x/x letters in the word “มกราคม ” }

D = { x/x letters in the word “รากไม”้ } ………………………2) E = (7,14,21,…,343}

F = (x/x = 7n , n is a natural number less than50}………………………………3 )A={x / x=1−1

n,n is a natural number }

B={0 , 1

2, 23, 34, 45, .. .}

………………………4) A= {1,2,3,4,5} B= {5,4,3,2,1} ………………………5) C = {0,1,3,7} D = {x:x is a integer number less than10} ………………………6) E ={12,14,16,18} F ={14,16,12,18} ………………………7) K= {x/x is a even integer number less than 10}

L = {2,4,6,8} ………………………

8 )M=¿¿

………………………

Exercises 1.3

1) Geven A = {2,{4,5},4} each of the following is True (T) or False (F)

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1){4,5}⊂ A ……………………… 2){4,5}∈ A

………………………3 ){{4,5}}⊂A ……………………… 4 )5∈ A ………………………5 ){5}∈ A ……………………… 6 ){5}⊂ A………………………2. Write down all the subset Each of the following

1.{1} ………………………………………………2.{1,2} ……………………………………………… 3.{-1,0,1} ………………………………………………

3. Write down Power set Each of the following

1.{5} ………………………………………………2.{0,1} ………………………………………………3.{2,3,4} ………………………………………………4. Given A = {1,2,3,4} Write the subset from one element , and two elements

………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………

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5.Which the following given that U is a natural Number , draw a Venn diagrams

1. A={1,2,3,4,…,10} B={1,3,5,7,9}

2. A={1,2,3,4,…,10} B={1,3,5,7,9} C={1,3,5}

3. A={1,2,3,4,…,10} B={1,3,5} C ={2,4,6}

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Practice 1.4

1.Which the following given that U = {1,2,3,4,5,6,7} draw a Venn diagrams

1) A = {2,3,7}

2) A = {3,4,5} and B = {1,3,5,7}

3 )A'={2,3,6}

2) Given that U = {0,1,2,3,4,5,6,7,8} , A={0,2,4,6,8}B = {1,3,5,7} and C = {3,4,5.6},

Write the following in the set-tabular form

1) A∩B ………………………………2)B∪C

………………………………

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3 )B∩C ……………………………… 4 )A∩C

………………………………5 )C ' ………………………………

6 )C '∩A

………………………………

7 )C '∩B………………………………8 )(A∩B )∪B

………………………………3) given Venn diagram Use each copy to shade one of the following sets

1)B'

2) A∩B '

3 )A'

4 )A'∪B

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5 )A'∪B'

4) given Venn diagram Use each copy to shade one of the following sets

1)( A∩B)'

2) ( A∪B )′

3 )A'∪B

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4 )A'∩B

5. In diagram given that n(u)=100 n(A)=40 ,n(B)=25

and A∩B=6 fill in the boxes

Set A – B B – A A∪B A' B' ( A∪B )'

Number of elements

6.Given number of element in the table

Set U A B C A∩B A∩C B∩C A∩B∩CNumber of elements

50 25 20 30 12 15 10 5

Find number of element in the following

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1) A∪C………………………………………………………………………………………………………………………..

2) A∪B∪C………………………………………………………………………………………………………………………..

3 )(A∪B∪C )'………………………………………………………………………………………………………………………..

4 )B−(A∪C ) ………………………………………………………………………………………………………………………..

5 )( A∩B )−C………………………………………………………………………………………………………………………..

7. The inquiry found that Butler There are people who drink tea or coffee is 120 .

There are those who like to drink coffee is 60, like to drink tea is 70 How many guys who like to drink tea .

And coffee

จากการสอบถามพอ่บา้นพบวา่ มผีู้ท่ีดื่มน้ำ�าชาหรอืกาแฟเป็นประจ้ำาจ้ำานวน 120 คน

มผีู้ชอบดื่มชา 60 คน ชอบด่ืมกาแฟ 70 คน จงหาจ้ำานวนพอ่บา้นท่ีชอบด่ืมทั�งชา

และกาแฟ

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8. Shops , a survey of customers showed that about 60% of the fan .

45 % use desktop fan of ceiling and 15 % use both types to know one customers who are not fans of both species has a few percent.

รา้นค้าแหง่หน่ึงได้ท้ำาการส้ำารวจความนิยมของลกูค้าเกี่ยวกับการใชพ้ดัลม พบวา่ 60 %

ใชพ้ดัลมชนิดตั�งโต๊ะ 45 % ใชช้นิดแขวนเพดาน และ 15 % ใชท้ั �งสองชนิด อยากทราบวา่

1 ) ลกูค้าท่ีไมใ่ชพ้ดัลมทั�งสองชนิดนี�มกีี่เปอรเ์ซน็ต์

2 ) ลกูค้าท่ีใชพ้ดัลมเพยีงชนิดเดียวมกีี่เปอรเ์ซน็ต์

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9. One hospital survey data from patients older than 40 years is 1,000 years.

It appears that smokers have lung cancer, 312 men and 660 among 180 people .

Smoking and lung cancer are smokers and I know that lung cancer is the number .

How much and how much per cent of all smokers

โรงพยาบาลแหง่หนึ่งท้ำาการส้ำารวจขอ้มูลจากผู้ป่วยท่ีมอีายุเกิน 40 ปี จ้ำานวน 1,000 ปี

ปรากฏวา่ มคีนสบูบุหรี ่312 คน มคีนเป็นมะเรง็ปอด 180 คน และม6ี60 คน ไมส่บู

บุหรีแ่ละไมเ่ป็นมะเรง็ท่ีปอด อยากทราบวา่ มผีู้สบูบุหรีแ่ละเป็นมะเรง็ที่ปอดจ้ำานวน

เท่าใด และคิดเป็นรอ้ยละเท่าใดของจ้ำานวนผู้สบูบุหรีทั่ �งหมด

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