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  4. The inverse of the proposition (p ∧ ∼ q) ⇒ r is

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

MHT CETMHT CET 2011

Solution:

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., $(\sim p \vee q) \Rightarrow \wedge \sim r$