Using contra positive method prove that, if n2 is an even integer, the – InterviewSolution

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1.

Using contra positive method prove that, if n2 is an even integer, then n is also an even integer.

Answer»

Let p: n² is an even integer. q: n is also an even integer.

Let ~p is true i.e., n is not an even integer.

=> n is not an even integer. [Since square of an odd integer is odd]

=> ~ p is true.

Therefore, ~q is true which provides that ~p is true.

Hence proved.

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