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Shade the Venn diagram to represent the set

Question : Shade the Venn diagram to represent the set : 2151571

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Shade the Venn diagram to represent the set.

1) A'∩B'

A)

B)

C)

D)

2) A'B'

A)

B)

C)

D)

3) B∩A'

A)

B)

C)

D)

4) A'B

A)

B)

C)

D)

5) A'(A∩B)

A)

B)

C)

D)

6) (AB)∩(A∩B)'

A)

B)

C)

D)

7) (A∩B)(AB)'

A)

B)

C)

D)

8) (A∩B∩C')'

A)

B)

C)

D)

9) (ABC')'

A)

B)

C)

D)

10) C'∩(AB)

A)

B)

C)

D)

11) (A'B)∩C

A)

B)

C)

D)

12) A(B∩C')

A)

B)

C)

D)

13) B(A∩C')

A)

B)

C)

D)

Use the union rule to answer the question.

14) If n(A) = 7, n(B) = 15, and n(A∩B) = 5; what is n(AB)?

A) 16

B) 18

C) 22

D) 17

15) If n(A) = 8, n(B) = 21, and n(AB) = 25; what is n(A∩B)?

A) 12

B) 2

C) 4

D) 6

16) If n(B) = 60, n(A∩B) = 11, and n(AB) = 105; what is n(A)?

A) 56

B) 45

C) 54

D) 58

17) If n(A) = 10, n(AB) = 28, and n(A∩B) = 6; what is n(B)?

A) 24

B) 25

C) 18

D) 23

Use a Venn Diagram and the given information to determine the number of elements in the indicated region.

18) n(U) = 60, n(A) = 33, n(B) = 21, and n(A∩B) = 5. Find n(AB)'.

A) 6

B) 11

C) 49

D) 54

19) n(A) = 35, n(B) = 18, n(A∩B) = 7, n(A'∩B') = 14. Find n(U)

A) 64

B) 53

C) 46

D) 60

20) n(A) = 33, n(B) = 15, n(AB) = 42, n(B') = 40. Find n(A∩B)'.

A) 13

B) 49

C) 42

D) 36

21) n(U) = 103, n(A) = 32, n(B) = 52, n(A∩B) = 11, n(A∩

C) = 14, n(A∩BC) = 6,n(A’∩BC’) = 35, and n(A’∩B’∩C’) = 24, Find n(C).

A) 14

B) 26

C) 22

D) 6

22) n(A) = 30, n(B) = 38, n(C) = 32, n(A∩B) = 6, n(A∩C) = 8, n(B∩C) = 2, n(A∩B∩C) and n(A’∩B∩C’) = 61, Find n(U)

A) 155

B) 145

C) 84

D) 114

23) n(ABC) = 45, n(A∩B∩C) = 7, n(A∩B) = 16, n(∩C) = 13,n(B∩C) = 11,  n(A) = 36, n(B) = 22, and n(c) = 20, Find n(A’∩B∩C)

A) 6

B) 3

C) 4

D) 5

24) n(U) = 92, n(A) = 37, n(B) = 29, n(C) = 44, n(A∩B) = 7, n(A∩C) = 8, n(B∩C) = 6 and n(A∩(B∩C)) = 3. Find n(A∩(B∩C)’)

A) 3

B) 25

C) 1

D) 26

25) n(U) = 115, n(A) = 37, n(B) = 43, n(C) = 46, n(A∩B) = 5, n(A∩C) = 4, n(B∩C) = 7, and n(A∩(B∩C)) = 2. Find n(((AB)C)’).

A) 2

B) 33

C) 3

D) 30

26) n(U) = 110, n(A) = 38, n(B) = 40, n(C) = 49, n(A∩B) = 6, n(A∩C) = 6, n(B∩C) = 7. Find n(A∩(B∩C)).

A) 2

B) 3

C) 31

D) 28

27) n(A) = 17, n(A∩B∩C) = 8, n(A∩C) = 12, n(A∩B') = 6, n(B∩C) = 15, n(B∩C') = 12, n(BC) = 32, n(A'∩B'∩C') = 10. Find n(A').

A) 30

B) 27

C) 17

D) 26

Solution
5 (1 Ratings )

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Calculus 3 Months Ago 27 Views
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