Answer
This statement is true.
Work Step by Step
The odd integers can be written as $2m+1$ and $2k+1$. Adding them, we get $2m+2k+2 = 2(m+k+1)$. Since this is divisible by 2, it must be even, so the statement is proven.
Discrete Mathematics with Applications 4th Edition
by Epp, Susanna S.
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: 27
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