Question

$\mathrm{The}\mathrm{contrapositive}\mathrm{of\; p\; \to \; \neg q}\mathrm{is}$.

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

Answer 1

The correct option is A $q\to \neg p$

The contrapositive of $p\to q\mathrm{is}\neg q\to \neg p$.Therefore , to find the contrapositive of p $\to$$\neg q$ just replace q by $\neg q$.
Upon replacement the contrapositive becomes :
$\neg \left(\neg q\right)\underset{}{\to \neg p}\mathrm{Also}\neg \left(\neg q\right)=qq\underset{}{\to \neg p}$