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Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.1: Counting
Problem 84E
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Intersection, Union, and Complements
n = intersection = what they have in COMMON, or what they BOTH HAVE
U = union = EVERYTHING that you see in either A OR B
A = complement of A = everything in the universe (U) NOT in A
A = {0, 1,2,3,}
B = {1,3,5,7)
A B = {1,3}
AUB= (0,1,2,3,5,7}
Haja Sesay
Period 3
A = {1,3,5,7,9,11}
B = {0,1,2,3,8,9}
1. AnB =
2. AUB=
3 N
-21,3,9) PCANB)- 23-1/2
PCAUB):9h =
A
2
UB= [0, 1, 2, 3, 5, 7, 8, 974
418
7
5
B
11
10. Given the universal set is the
integers from 1 through 100, describe
the complement of {2,4,6,8,...100}
12. If A = {-5, -4, 0, 4, 5) and
B = (-6,-5,0,5,6), what is the intersection
of A and B?
Note: All answers on this
page
should be a set and
written as:
{#,#,#,#}
A = (2,4,6}
B = (1,3,5}
13. What is the union of A and B in #12
4. AUB-11.3,4,5,63
n/a
3. A0B=0/9 PCAMB)=- S. AB=
5.
9. BC =
=
U = {0, 1,2,3,4,5,6,7}
A = (1,3,5,7)
A = {0,2,4,6}
El
PHÂUỚI
6. AB =[1₁48
7. AUB= $1,2,3,4,5,7,8,93
8. AC =
A = (-5,-2,0,2,5,9}
B = set of all whole numbers
11. Given the universal set is the
integers from 1 through 27, describe the
complement of (1,3,5,7,...27)
14. AB:
If A = (-500, -12, -1, 1, 5, 57) and
B=(-12,-1,1, 5, 22), what is:
108-22-1,1,5, -123
15. AUB
1UB 2-1, 1, -12, 5, 22, 57, -5802
16. If A = the set of all integers and
B = (-3,-2,-1.5,0,1.333,4), what is the
intersection of A and B?
A
3
1
4
A
7
A. (-5,-4,-1,0,1,3,5}
B. {-4,3,5}
C. (-5,-1,0,1}
D. {-4,0,3,5}
2
5
6
22. If U = {-5,-4,-1,0,1,3,5) and A = {-4,3,5),
which of the following describes AC?
B
11
1
0
3
8
12
17. If A = (1,3,5,7,9) and B = (2,4,6,8),
what is the intersection of set A and B?
B
11
18.
19.
~B=24₁43
B=21,3144517,9,113
21.
AB=
AUB
20. AC
BC
=
23. Let U = {3,5,7,9,11,12,13}
Let A = {5,7,11,13}
Find AC
A. (3,5,7,9,11,12,13}
B. (3,9,12)
C. (5,7,11,13)
D. {2,4,6,8)
A
8
9
1
4
B
(1,4,7,8,9)
5
11
13
24. Given the Venn-Diagram Above, find A 26. Given the Venn-Diagram Above, find AUB
A. (8,12)
A. (5,11)
B. (8,11,12)
B (1,4,5,7,8,9,11)
C. (1,3,8,11,12)
C. (1,4,7,8,9)
D. (2,6)
D. (1,4)
25. Find AB=₁
27. Find A B
A(1,3)
A. (5,11)
B. (1,2,3,6,8,12)
B) (1,4)
C. (11)
Transcribed Image Text:Intersection, Union, and Complements n = intersection = what they have in COMMON, or what they BOTH HAVE U = union = EVERYTHING that you see in either A OR B A = complement of A = everything in the universe (U) NOT in A A = {0, 1,2,3,} B = {1,3,5,7) A B = {1,3} AUB= (0,1,2,3,5,7} Haja Sesay Period 3 A = {1,3,5,7,9,11} B = {0,1,2,3,8,9} 1. AnB = 2. AUB= 3 N -21,3,9) PCANB)- 23-1/2 PCAUB):9h = A 2 UB= [0, 1, 2, 3, 5, 7, 8, 974 418 7 5 B 11 10. Given the universal set is the integers from 1 through 100, describe the complement of {2,4,6,8,...100} 12. If A = {-5, -4, 0, 4, 5) and B = (-6,-5,0,5,6), what is the intersection of A and B? Note: All answers on this page should be a set and written as: {#,#,#,#} A = (2,4,6} B = (1,3,5} 13. What is the union of A and B in #12 4. AUB-11.3,4,5,63 n/a 3. A0B=0/9 PCAMB)=- S. AB= 5. 9. BC = = U = {0, 1,2,3,4,5,6,7} A = (1,3,5,7) A = {0,2,4,6} El PHÂUỚI 6. AB =[1₁48 7. AUB= $1,2,3,4,5,7,8,93 8. AC = A = (-5,-2,0,2,5,9} B = set of all whole numbers 11. Given the universal set is the integers from 1 through 27, describe the complement of (1,3,5,7,...27) 14. AB: If A = (-500, -12, -1, 1, 5, 57) and B=(-12,-1,1, 5, 22), what is: 108-22-1,1,5, -123 15. AUB 1UB 2-1, 1, -12, 5, 22, 57, -5802 16. If A = the set of all integers and B = (-3,-2,-1.5,0,1.333,4), what is the intersection of A and B? A 3 1 4 A 7 A. (-5,-4,-1,0,1,3,5} B. {-4,3,5} C. (-5,-1,0,1} D. {-4,0,3,5} 2 5 6 22. If U = {-5,-4,-1,0,1,3,5) and A = {-4,3,5), which of the following describes AC? B 11 1 0 3 8 12 17. If A = (1,3,5,7,9) and B = (2,4,6,8), what is the intersection of set A and B? B 11 18. 19. ~B=24₁43 B=21,3144517,9,113 21. AB= AUB 20. AC BC = 23. Let U = {3,5,7,9,11,12,13} Let A = {5,7,11,13} Find AC A. (3,5,7,9,11,12,13} B. (3,9,12) C. (5,7,11,13) D. {2,4,6,8) A 8 9 1 4 B (1,4,7,8,9) 5 11 13 24. Given the Venn-Diagram Above, find A 26. Given the Venn-Diagram Above, find AUB A. (8,12) A. (5,11) B. (8,11,12) B (1,4,5,7,8,9,11) C. (1,3,8,11,12) C. (1,4,7,8,9) D. (2,6) D. (1,4) 25. Find AB=₁ 27. Find A B A(1,3) A. (5,11) B. (1,2,3,6,8,12) B) (1,4) C. (11)
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