Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Section P.9 - Linear Inequalities and Absolute Value Inequalities - Exercise Set - Page 140: 139



Work Step by Step

True. Since $|u|\geq0$ is true for all real numbers and $|u|=0$ has only one solution $u=0$ which is not an irrational number, we can conclude that all irrational numbers satisfy $|u|\gt0$. Let $u=x-4$; we conclude that the given statement is true.
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