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: 53

Answer

$[1.3, 1.7]$

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$[1.3, 1.7]$.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.