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 4.4 - Page 190: 32

Answer

The parity is even.

Work Step by Step

Adding $2(a-b)+(b-c)$, both parts of the sum are even, so the sum must be even. The sum is $2a-(b+c)$, so this must be even.
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