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: 94

Answer

$|x-2|\le 4$

Work Step by Step

RECALL: The expression $|x-a|$ represents the distance of a real number $x$ from $a$. Thus, the expression $|x-2|$ represents the distance of the real number $x$ from $2$. Therefore, the expression $|x-2|\le4$ means: "the distance of a real number $x$ from $2$ is at most 4 units" (refer to the image below for the graph)
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