The compound statement p→q∨p∧~q is logically equivalent to

Correct answer: (C) tautology. We know that ~p→q≡p∧~q ∴ given statement is p→q∨~p→q Which is a tautology as, p∨~p≡t

Q22 / 69 · NTA Abhyas (JEE Main) 2020 · Mathematics · Mathematical Reasoning

The compound statement $(p \to q) \lor (p \land ~ q)$ is logically equivalent to

We know that

~ (p \to q) \equiv p \land ~ q

∴

given statement is

(p \to q) \lor \{~ (p \to q)\}

Which is a tautology

\{as, p \lor (~ p) \equiv t\}

Hence, the correct answer is option: 'C'.