Answer
$(-1,9)$
Work Step by Step
Rewrite as
$|4-x| \lt 5$
... also, $|a-b|=|b-a|$
$|x-4| \lt 5$
... $|u| \lt c $ is equivalent to $-c \lt u \lt c.$
$-5 \lt x-4 \lt 5 \qquad $ ... add 4
$-1 \lt x \lt 9 $
Solution set = $(-1,9)$
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
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: 85
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