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 161: 12


False; 2 is not an odd number

Work Step by Step

Let $n=5$, $(5-1)\div2=2$ 2 is not an odd number Therefore, the statement is false. Note: This is just one possible answer. Letting $n=9$ works as well.
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