Answer
$[28,72]$
Work Step by Step
Consider the inequality $|T-50|\leq 22$
or, $T \leq 22+50$
This implies that $T \leq 72$
Now, $|T-50|\leq 22$
or, $T \geq -22+50$
This implies that $T \geq 28$
or, $28 \leq T \leq 72$
Hence, $[28,72]$
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 4 - Section 4.3 - Equations and Inequalities Involving Absolute Value - Exercise Set - Page 285: 94
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