# arrow_back The contrapositive of the sentence $\sim p \rightarrow q$ is equivalent to ( )

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The contrapositive of the sentence $\sim p \rightarrow q$ is equivalent to ( )
A. $p \rightarrow \sim q$
B. $q \rightarrow \sim p$
C. $q \rightarrow p$
D. $\sim p \rightarrow \sim q$
E. $\sim q \rightarrow p$

E

Explanation:
The correct answer is (E). The contrapositive is the converse of the inverse. Thus, form the converse and negate the hypothesis and conclusion. Hence $\sim q \rightarrow p$.

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