Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.8 - Inequalities - 1.8 Exercises - Page 89: 92

Answer

$|x| \gt 2$

Work Step by Step

RECALL: The expression $|x-a|$ represents the distance of a real number $x$ from $a$. Thus, the expression $|x-0|$, which is equivalent to $|x|$, represents the distance of the real number $x$ from 0. Therefore, the expression $|x|>2$ means: "the distance of a real number $x$ from 0 is more than 2 units"
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