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Question

Complete the table by writing the contrapositive of each statement.

StatementContrapositiveIf p, then qIfq,thenpIfp,thenqIfp,thenqIfp,thenq\begin{matrix}\text{Statement} & \text{Contrapositive}\\\text{If p, then q} & \mathrm{If \sim q, then \sim p}\\\mathrm{If \sim p, then q}\\\mathrm{If p, then \sim q}\\\mathrm{If \sim p, then \sim q}\\\end{matrix}

Solution

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The contrapositive\textit{contrapositive} is the statement formed by both exchanging and negating the hypothesis and conclusion.

So, the completed table will be:

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