Show that the following statement is true by the method of contraposit – InterviewSolution

InterviewSolution

1.	Show that the following statement is true by the method of contrapositive.P: If x is an integer andx^(2) is even, then x is also even.
Answer» Answer :The STATEMENT is of the form "If p, then q'. Let q be false, i.e.,let X be not even => x=2n+1, Where n is an INTEGER . => `x^(2)=(2n -: 1)2=4n^(2) -:4n+1=4(n^(2)+n)+1=1` more then an even number =>`x^(2)` is odd i.e., If q is not true, then p is not true is proved. Hence, the GIVEN statement is true.

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