Question

The inverse of the proposition $\left(p\wedge \sim q\right)\Rightarrow r$ is

• A. $\sim r\Rightarrow \sim p\vee q$
• B. $\sim p\vee q\Rightarrow \sim r$
• C. $r\Rightarrow p\wedge \sim q$
• D. None of these

Answer 1

Answer: (B)

Inverse of $p\Rightarrow q$ is $\sim p\Rightarrow \sim q$
$\therefore$ Inverse of $(p\wedge \sim q)\Rightarrow r$ is
$\sim (p\wedge \sim q)\Rightarrow \sim r$
i.e., $(\sim p\vee q)\Rightarrow \wedge \sim r$