Discrete Mathematics with Applications 4th Edition

Published by Cengage Learning
ISBN 10: 0-49539-132-8
ISBN 13: 978-0-49539-132-6

Chapter 4 - Elementary Number Theory and Methods of Proof - Exercise Set 4.1 - Page 162: 39

Answer

The proof assumes that the integers are consecutive.

Work Step by Step

In setting $m=2k, n= 2k+1$, the person sets the two such that n is 1 more than m. Instead, the person should have set $n = 2d+1$, where $d$ is a completely separate integer.
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