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 4.2 - Page 169: 24

Answer

See below.

Work Step by Step

Use Theorem 4.2.1, results from previous exercises, and Theorem 4.2.2, we have: 1. $2,3,r, s$ are rational numbers, 2. $2r, 3s$ are rational numbers, 3. Thus $2r+3s$ is a rational number.
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