dianaelisseev226 dianaelisseev226
  • 25-02-2021
  • Mathematics
contestada

Prove that if n is an even integer, then n + 1 is odd. Give a proof by contraposition of this theorem.

Respuesta :

AFOKE88 AFOKE88
  • 01-03-2021

Answer:

Proved below

Step-by-step explanation:

If we assume that n + 1 even when n is even, it means that;

n + 1 = 2x

Where x is an integer

Then;

n = 2x - 1

This means that n is odd because 2x - 1 is odd.

But we know that n is even, thus, our assumption is wrong.

Therefore, n + 1 is odd when n is even.

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