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Q. The contrapositive of the inverse of $p \to \sim q$ is

KCETKCET 2005Mathematical Reasoning

Solution:

Inverse of $p \rightarrow \sim q$ is $\sim p \rightarrow q$
The contrapositive of $\sim p \rightarrow q$ is $\sim q \rightarrow p$
$[\because$ contrapositive of $p \rightarrow q$ is $\sim q \rightarrow \sim p]$