Answer
$4 \lt x \lt 5$
Work Step by Step
a. $|x - 3| \lt 2$
$-2 \lt x-3 \lt 2$
$1 \lt x \lt 5$
b. $ |x-5| \lt 1$
$-1 \lt x-5 \lt 1$
$4 \lt x \lt 6$
By finding the overlap of both equations,
$4 \lt x \lt 5$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 1 - Precalculus Review - 1.1 Real Numbers, Functions, and Graphs - Exercises - Page 10: 28
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