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Applications (Word Problem)

The contrapos...

Question

The contrapositive of the statement $p ⟹ \sim q$ is

A

\sim p ⟹ q

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B

p ⟹ q

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C

\sim q ⟹ \sim p

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D

q ⟹ \sim p

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Solution

The correct option is D $q ⟹ \sim p$
Switching the hypothesis and conclusion of a conditional statement and negating both is called contrapositive of of a statement.
Hence, to find the contrapositive of the given statement, we exchange $p$ , $a n d$ q $, a l s o b y n e g a t i n g b o t h . S o, w e g e t,$ q\Longrightarrow \sim p $

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