contemporary mathematics (mat-130) set theory...
Post on 29-Apr-2018
224 Views
Preview:
TRANSCRIPT
Contemporary Mathematics (MAT-130) Set Theory (Chapter 2)
Bergen Community College Cerullo Learning Assistance Center (CLAC) 201-447-7489 Room L-125
Let:
* +
* + * + * + * +
Find:
1) ( )
2) ( )
3) What is the cardinality of D?
4) What is the cardinality of U?
5) Find the number of subsets of A
6) List the subsets of B
7) Find the number of subsets of C
8) Find the number of subsets of U
9) ( )
10) ( )
11) ( )
12) ( )
13) Find the number of proper subsets
of A
14) Find the number of proper subsets
of D
15) Find the number of proper subsets
of
16)
17)
18)
19)
20)
21)
22)
23)
24)
25) ( )
26)
27)
28)
29)
30) ( )
31) ( )
Contemporary Mathematics (MAT-130) Set Theory (Chapter 2)
Bergen Community College Cerullo Learning Assistance Center (CLAC) 201-447-7489 Room L-125
32) ( ) ( )
33) ( )
34) ( )
35) ( )
36) ( ) ( )
37) ( )
38) ( )
39) ( )
40) ( ) ( )
41) ( )
42) ( ) ( )
43) ( )
44) ( )
45)
46) What is the cardinality B?
47) What is the cardinality of A?
48) What is the cardinality C?
49) Find the number of proper subsets
of U
Contemporary Mathematics (MAT-130) Set Theory (Chapter 2)
Bergen Community College Cerullo Learning Assistance Center (CLAC) 201-447-7489 Room L-125
Create a Venn Diagram identical to the sample provided below and shade the region
represented by:
50)
51)
52)
53)
54) ( )
55) ( ) ( )
56) ( )
57) ( ) ( )
58) ( )
59)
60) ( )
61) ( )
62) ( )
63)
64)
65) ( )
Contemporary Mathematics (MAT-130) Set Theory (Chapter 2)
Bergen Community College Cerullo Learning Assistance Center (CLAC) 201-447-7489 Room L-125
For the diagram below, use symbols to describe the following regions
(answers may vary).
66) Region I, II, V, and IV
67) Region V
68) Region II and V
69) Region VIII
70) Region I
71) Region I, II, III, IV, VI, VII, VIII
72) Region III and VI
73) Region I, II, III, VI, VII, VIII
74) Region II, III, VI
75) Region II, VI, V
Contemporary Mathematics (MAT-130) Set Theory (Chapter 2)
Bergen Community College Cerullo Learning Assistance Center (CLAC) 201-447-7489 Room L-125
76) A survey was conducted of BCC students that resulted in the following information:
50 of them are taking math, 60 of them are taking English, 20 of them are taking both
English and math and 80 of the students are taking neither:
a) How many students are taking Math only?
b) How many students are taking English only?
c) How many students are taking Math or English?
d) How many students were surveyed?
77) One hundred People were contacted and responded to a music survey. 30 people liked pop
music, 25 people liked rock music and 20 people liked classical music. 15 people liked pop
and rock, 12 people liked pop and classical music and 13 people liked classical and rock
music. Only 6 people liked all three kinds.
a) How many people liked pop music only?
b) How many people liked rock music only?
c) How many people liked classical music only?
d) How many people liked pop or rock music?
e) How many people liked pop and rock music?
f) How many people liked pop and rock but not classical music?
g) How many people liked none of the genre?
h) How many people liked at least two of the genres?
i) How many people liked only two of the genres?
78) People were contacted and responded to a food survey. 50 people liked Mexican food, 60
people liked Italian food and 45 people liked Chinese food. 10 people liked Mexican and
Italian food only. 15 people liked Chinese food only. 20 people liked Mexican and Chinese
food and 20 people liked Italian and Chinese food. 20 people liked Mexican food only. 5
people liked none of the foods being surveyed.
a) How many people liked all three types of food?
b) How many people liked Italian food only?
c) How many people liked Chinese food only?
d) How many people did not like Mexican food?
e) How many people did not like Chinese food?
f) How many people were surveyed?
Contemporary Mathematics (MAT-130) Set Theory (Chapter 2)
Bergen Community College Cerullo Learning Assistance Center (CLAC) 201-447-7489 Room L-125
Solutions:
1) 5
2) 5
3) 2
4) 8
5) 32
6) * + * + * + * + * + * + * + * +
7) 32
8)
9) 9
10) 15
11) 40
12) 64
13) 31
14) 3
15) 63
16) * +
17) * +
18) * +
19) * +
20) * +
21) * +
22) * +
23) * +
24) * +
25)
26) * +
27) * +
28)
29) * +
30) * +
31) * +
32) * +
33)
34) * +
35) * +
36) * +
37) * +
38)
39) * +
Contemporary Mathematics (MAT-130) Set Theory (Chapter 2)
Bergen Community College Cerullo Learning Assistance Center (CLAC) 201-447-7489 Room L-125
40) * +
41) * +
42) * +
43) * +
44) * +
45) * +
46) 3
47) 5
48) 5
49) 82 1 = 255
50)
51)
Contemporary Mathematics (MAT-130) Set Theory (Chapter 2)
Bergen Community College Cerullo Learning Assistance Center (CLAC) 201-447-7489 Room L-125
52)
53)
54)
55)
Contemporary Mathematics (MAT-130) Set Theory (Chapter 2)
Bergen Community College Cerullo Learning Assistance Center (CLAC) 201-447-7489 Room L-125
56)
57)
58)
59)
Contemporary Mathematics (MAT-130) Set Theory (Chapter 2)
Bergen Community College Cerullo Learning Assistance Center (CLAC) 201-447-7489 Room L-125
60)
61)
62)
63)
Contemporary Mathematics (MAT-130) Set Theory (Chapter 2)
Bergen Community College Cerullo Learning Assistance Center (CLAC) 201-447-7489 Room L-125
64)
65)
66)
67)
68)
69) ( )
70) ( )
71) ( )
72)
73) ( )
74) ( )
75) ( ) ( ) OR ( )
Contemporary Mathematics (MAT-130) Set Theory (Chapter 2)
Bergen Community College Cerullo Learning Assistance Center (CLAC) 201-447-7489 Room L-125
76)
a) 30
b) 40
c) 90
d) 170
77)
Contemporary Mathematics (MAT-130) Set Theory (Chapter 2)
Bergen Community College Cerullo Learning Assistance Center (CLAC) 201-447-7489 Room L-125
a) 9
b) 3
c) 1
d) 40
e) 15
f) 9
g) 59
h) 9 + 6 + 6 + 7 = 28
i) 9 + 6 + 7 = 22
78)
a) 10
b) 30
c) 15
d) 60
e) 65
f) 110
top related