Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

APPENDIX A - Numbers, Inequalities, and Absolute Values - A Exercises - Page A9: 53


$[1.3, 1.7]$

Work Step by Step

The inequality$ |2x-3|≤0.4$ can be calculated as follows: If$ |x|≥a$ then: $x≤-a,x≥a$ … (1) Now, apply equation (1) for expression$ |2x-3|≤0.4$ to get: $-0.4≤2x-3≤0.4$ This implies $3-0.4≤2x≤0.4+3$ $2.6≤2x≤3.4$ $1.3≤x≤1.7$ Hence, the solution set is$[1.3, 1.7]$.
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