Calculus (3rd Edition)

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

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, $4 \lt x \lt 5$
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