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

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

Mathematical Reasoning

Solution:

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