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For the statement below, find the contrapositive. If Mike does his Geometry homework, then he will get a good grade.

User Ermagana
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1 Answer

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14 votes

Remeber that given a proposition of the following form:


p\Rightarrow q

then, the contrapositive of the implication is:


\\eg q\Rightarrow\\eg p

in this case, we have the following:


p\Rightarrow q\equiv\text{ If Mike does his Geometry homework, then he will get a good grade}

then, the contrapositive is:


\begin{gathered} \\eg q\Rightarrow\\eg p\equiv \\ \text{If Mike does not get a good grade, then he did not do his Geometry homework} \end{gathered}

User Ivan Pirus
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