Question

The inverse proposition of $(p\wedge \sim q)\Rightarrow r$, 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

The correct option is B $\sim p\vee q\Rightarrow \sim r$

Inverse proportion of $p\to q$ is $\sim p\to \sim q$
$\therefore$ inverse proportion of $p\wedge \sim q\to r$ is
$\sim (p\wedge \sim q)\to \sim r$
$⟹\sim p\vee q\to \sim r$