Show that the following statement is true by the method of contrapositive. p: If x is an integer and x2 is even, then x is also even.

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p: If x is an integer and x2 is even, then x is also even. Let q: x is an integer and x2 is even. r: x is even. To prove that p is true by contrapositive method, we assume that r is false, and prove that q is also false. Let x is not even. To prove that q is false, it has to be proved that x is not an...
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p: If x is an integer and x2 is even, then x is also even. Let q: x is an integer and x2 is even. r: x is even. To prove that p is true by contrapositive method, we assume that r is false, and prove that q is also false. Let x is not even. To prove that q is false, it has to be proved that x is not an integer or x2 is not even. x is not even implies that x2 is also not even. Therefore, statement q is false. Thus, the given statement p is true. read less
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