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Show that the following statement is tru...

Show that the following statement is true by the method of contrapositive. p: If x is an integer and `x^2`is even, then x is also even.

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p : If x is an integer and `x^2` is even then x is also even.
Let q : x is an integer and `x^2` 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 `x^2` is not even.
x is not even implies that `x^2` is also not even.
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