Question

The converse of the contrapositive of the conditional $p\to \sim q$ is :

• A. $p\to q$
• B. $\sim p\to \sim q$
• C. $\sim q\to p$
• D. $\sim p\to q$

Answer 1

Answer: (D)

$\sim p\to q$

The contrapositive of $p\to \sim q$ is
$\sim (\sim q)\to \sim p$ or $q\to \sim p$
Also, converse of $q\to \sim p$ is $\sim p\to q$.

Hence, converse of the contrapositive of the conditional $p\to \sim q$ is $\sim p\to q$