Question

5. If U = {1, 2, 3, 4, 5, 6, 7), A = {2, 4,6} and B = {1,3,5,7}, verify the following.
(i) A' = B
(ii) B' = A
(iii) A' U B' = U
(iv) A U B=U​

Answer 1

Step-by-step explanation:

1. A'=B

{1,3,5,7,} ={1,3,5,7,}

2. B'=A

{2,4,6}={2,4,6}

3. A'UB'=U

{1,3,5,7,2,4,6}={1,2,3,4,5,6,7}

4. AUB=U

{2,4,6,1,3,5,7}={1,2,3,4,5,6,7} ans