Relations and Functions

Relations and Functions

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 = . . .

Answer

(a) A ∪ A′ = U                         [By complement law]
(b) φ′ ∩ A = U ∪ A = A            [By complement law]
(c) A ∩ A' = φ                         [By complement law]
(d) U′ ∩ A = φ′ ∩ A = φ           [By complement law]

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