1.

Which of the following is not true for any two statements p and q?(A) ~[p ∨ (~q)] ≡ ~p ∧ q (B) (p ∨ q) ∨ (~q) is a tautology (C) ~(p ∧ ~p) is a tautology (D) ~(p ∨ q) ≡ ~p ∨ ~q

Answer»

Correct option: (D) ~(p ∨ q) ≡ ~p ∨ ~q

~(p ∨ q) ≡ ~p ∨ ~q is not true as it contradicts De Morgan’s law.

∴ option (D) is not true.



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