Statement p → (p ↔ q) is logically equivalent to :-

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Mathematical Reasoning

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The statement $p → (p \leftrightarrow q)$ is logically equivalent to :-

A

$(p → q) \vee (q → p)$

B

$(p → q) \wedge (q →p)$

C

$(q→ p) → (p → q)$

D

$(q → p) \leftrightarrow (p →q)$

Solution

Here statements $p → (p \leftrightarrow q)$ and $(q → p) → (p → q) $ both are false only when $p$ is true and $q$ is false otherwise they are true.

Standard 11

Mathematics

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