Show that if n is an integer and n ³ + 5 is odd, then in is even using

A.Suppose that n ³ + 5 is odd and that nis odd
B. We know that the sum of two odd numbers is even
C. As n ³ 5 are odd, their n ³ + 5 should be even, but it is given to be odd. This is a contradiction
D. Therefore, our supposition was wrong, hence it is even
E. As is odd, n ³ is odd.