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 138: 79

Answer

$[2,6]$

Work Step by Step

$-2|x-4|\geq-4\qquad $ ... divide with $(-2)$ ... $\times $(negative) $\Rightarrow $ change direction. $|x-4|\leq 2$ ... $|u| \leq c\ \ $ is equivalent to $-c \leq u \leq c.$ $-2\leq x-4\leq 2\qquad $ ... add 4 ... $2\leq x\leq 6$ Borders are included. The solution set is $[2,6].$
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