Question

. Let U = {1, 2, 3, 4, 5, 6, 7} and A = {1, 2, 3, 4, 5} B = {2, 5, 7} show that

(i) (A ∪ B)' = A' ∩ B'

(ii) (A ∩ B)' = A' ∪ B'

(iii)(A ∩ B) = B ∩ A

(iv)(A ∪ B) = B ∪ A​

Answer 1

Answer:

{1, 2, 3, 4, 5, 6, 7} and A = {1, 2, 3, 4, 5} B = {2, 5, 7} show that

(i) (A ∪ B)' = A' ∩ B'

() (A ∩ B)' = A' ∪ B'

((A ∩ B) = B ∩ A

()(A ∪ B) = B ∪ A