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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Updated on : 2022-09-05
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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.