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.

Answer Link

Otras preguntas

who was not free in medieval England
What does tengo mean in Spanish?
How do conservationists make use of watersheds and ecozones? Why is this important?
What does karyote mean?
Which sentence does not contain any punctuation errors? A. I thought of you when I read these words of Shakespeare; “The fool doth think he is wise, but the wi
the area of a sector of the circle with an arc measure of 45 degree and with a radius of 4 is?
What were the causes of the cold war?
where does england get its natural resources
What were the causes of the cold war?
What reasons does Palmer give to justify the arrest of communists in the United States?