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 4.7 - Page 212: 11

Answer

This statement is false.

Work Step by Step

Consider the positive numbers $6-\pi$ and $6+\pi$. They are both irrational, but their sum is $12$, which is a rational number so this is disproven by contradiction.
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