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 ∵ p∨~p≡t

Q25 / 69 · NTA Abhyas (JEE Main) 2020 · Mathematics · Mathematical Reasoning

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

We know that

~ (p \leftrightarrow q) \equiv p \leftrightarrow ~ q

∴

given statement is

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

which is a tautology

\{∵ p \lor (~ p) \equiv t\}

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