Which of the following is true? - Vidyadip

MCQ

Which of the following is true?

A
$p \wedge \sim p \equiv T$
B
$p \vee \sim p \equiv F$
C
$p \rightarrow q \equiv q \rightarrow p$
✓
$p \rightarrow q \equiv(\sim q) \rightarrow(\sim p)$

✓

Answer

Correct option: D.

$p \rightarrow q \equiv(\sim q) \rightarrow(\sim p)$

(D)
$(\sim q) \rightarrow(\sim p)$ is contrapositive of $p \rightarrow q$ and hence both are logically equivalent to each other.

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