Q. 165.0( 1 Vote )

Using contrapositive method prove that if n2 is an even integer, then n is also an even integers.

Answer :

Let us Assume

p: n2 is an even integer.


~p: n is not an even integer


q: n is also an even integer


~q=n is not an even integer.


Since, In the contrapositive, a conditional statement is logically equivalent to its contrapositive.


Therefore,


~q ~p = If n is not an even integer then n2 is not an even integer.


Hence, ~q is true ~p is true.


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