0.5007. Let X ={a, b, c, d, e(An B)' A'UBA = {(a, 0.3), (b, 0.8)B {(a, 0.5), (b, 0.4)EXERCISE SET 2.3In Exercises 1 to 20, let U = {1, 2, 3, 4, 5, 6, 7, 8},A {2, 4, 6}, B {1, 2, 5, 8}, and C {1, 3, 7}.Find each of the following.-1. AU B2. An B3. An B'4. Bn C'76. (A'n B)'8. An (BUC)5. (A U B)'7. A U (BUC)10. A' U (Bn C)9. An (Bn C)12. An A'11. Bn (BUC)14. (An (BU C))'13. BU B'16. (A UC') U (BUA')15. (A U C') n (BUA')18. (A' U B) n020. (Bn A') U (B' U C)17. (CUB) U19. (A U B) n (Bn C')In Exercises 21 to 28, write a sentence that describesthe given mathematical expression.22. J' nK24, (AU B) n C21. L' UTMembership value

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Asked Sep 11, 2019

Question 14 and 18 how can solve thanks for your help.

0.5
0
0
7. Let X ={a, b, c, d, e
(An B)' A'UB
A = {(a, 0.3), (b, 0.8)
B {(a, 0.5), (b, 0.4)
EXERCISE SET 2.3
In Exercises 1 to 20, let U = {1, 2, 3, 4, 5, 6, 7, 8},
A {2, 4, 6}, B {1, 2, 5, 8}, and C {1, 3, 7}.
Find each of the following.
-
1. AU B
2. An B
3. An B'
4. Bn C'
7
6. (A'n B)'
8. An (BUC)
5. (A U B)'
7. A U (BUC)
10. A' U (Bn C)
9. An (Bn C)
12. An A'
11. Bn (BUC)
14. (An (BU C))'
13. BU B'
16. (A UC') U (BUA')
15. (A U C') n (BUA')
18. (A' U B) n0
20. (Bn A') U (B' U C)
17. (CUB) U
19. (A U B) n (Bn C')
In Exercises 21 to 28, write a sentence that describes
the given mathematical expression.
22. J' nK
24, (AU B) n C
21. L' UT
Membership value
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0.5 0 0 7. Let X ={a, b, c, d, e (An B)' A'UB A = {(a, 0.3), (b, 0.8) B {(a, 0.5), (b, 0.4) EXERCISE SET 2.3 In Exercises 1 to 20, let U = {1, 2, 3, 4, 5, 6, 7, 8}, A {2, 4, 6}, B {1, 2, 5, 8}, and C {1, 3, 7}. Find each of the following. - 1. AU B 2. An B 3. An B' 4. Bn C' 7 6. (A'n B)' 8. An (BUC) 5. (A U B)' 7. A U (BUC) 10. A' U (Bn C) 9. An (Bn C) 12. An A' 11. Bn (BUC) 14. (An (BU C))' 13. BU B' 16. (A UC') U (BUA') 15. (A U C') n (BUA') 18. (A' U B) n0 20. (Bn A') U (B' U C) 17. (CUB) U 19. (A U B) n (Bn C') In Exercises 21 to 28, write a sentence that describes the given mathematical expression. 22. J' nK 24, (AU B) n C 21. L' UT Membership value

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Step 1

14.

 The union of B and C is calculated as follows.

(BUC)=1,2,5,8){1,3,7}
={1,2,3,5,7,8}
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(BUC)=1,2,5,8){1,3,7} ={1,2,3,5,7,8}

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Step 2

The intersection of A and (B C) is calculated as follows.

A (BUC)={2,4,6}n{1,2,3,5,7,8}
(2}
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A (BUC)={2,4,6}n{1,2,3,5,7,8} (2}

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Step 3

Here, the complement of the set A ꓵ (B C) is the set of elements that are members of the set U but are not in A ꓵ (B &...

A(BUC)]{1.3,4,5,6,7,8}
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A(BUC)]{1.3,4,5,6,7,8}

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