Using contra positive method prove that, if n^2 is an even integer, then n is also an even integer.
Using contra positive method prove that, if n2 is an even integer, then n is also an even integer.
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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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