Fill in the blanks to make each of the following a true statement:
(i) A ∪ A’ = . . . (ii) ϕ’ ∩ A = . . .

(iii) A ∩ A’ = . . . (iv) U’ ∩ A = . . .

Question

Fill in the blanks to make each of the following a true statement: (i) A ∪ A’ = . . . (ii) ϕ ’ ∩ A = . . . (iii) A ∩ A’ = . . . (iv) U’ ∩ A = . . .

Philoid · Accepted Answer

(i) A ⋃ A’ = U

(ii) ϕ’ ⋂ A = U ⋂ A = A (as ϕ’ = U)

(iii) A ⋂ A’ = ϕ

(iv) U’ ⋂ A = ϕ ⋂ A = ϕ (as U’ = ϕ)

Fill in the blanks to make each of the following a true statement:(i) A ∪ A’ = . . . (ii) ϕ’ ∩ A = . . .(iii) A ∩ A’ = . . . (iv) U’ ∩ A = . . .