Question

$p\to \sim q$ can also be written as

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

Answer 1

The correct option is B

$\sim p\vee \sim q$

$\begin{array}{ccccccccc}p& q& \sim p& \sim q& p\to q& p\to \sim q& q\to p& \sim q\to \sim p& \sim p\vee \sim q\\ T& T& F& F& T& F& T& T& F\\ T& F& F& T& F& T& T& F& T\\ F& T& T& F& T& T& F& T& T\\ F& F& T& T& T& T& T& T& T\end{array}$

From the truth table, $p\to \sim q$ and $\sim p\vee \sim q$ are same.