Question

Let U = {1, 2, 3; 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6}.


Find



(i) A’
(ii) B’
(iii) (A U C)’
(iv) (A U B)’
(v) (A’)’
(vi) (B – C)’
​

Answer 1

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It is given that

U = {1, 2, 3, 4, 5, 6, 7, 8, 9}

A = {1, 2, 3, 4}

B = {2, 4, 6, 8}

C = {3, 4, 5, 6}

(i) A’ = {5, 6, 7, 8, 9}

(ii) B’ = {1, 3, 5, 7, 9}

(iii) A U C = {1, 2, 3, 4, 5, 6}

So we get

(A U C)’ = {7, 8, 9}

(iv) A U B = {1, 2, 3, 4, 6, 8}

So we get

(A U B)’ = {5, 7, 9}

(v) (A’)’ = A = {1, 2, 3, 4}

(vi) B – C = {2, 8}

So we get

(B – C)’ = {1, 3, 4, 5, 6, 7, 9}

Answer 2

Answer:

A= 1,2,3,4

B= 2,4,6,8

AUC= 1,2,3,4,5,6,7,8,9

AUB= 1,2,3,4,5,6,7,8,9

A= 1,2,3,4

B-C= 2,4,6,8 - 3,4,5,6

Step-by-step explanation: