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: 48


$(-∞, -3]∪ [3, ∞)$

Work Step by Step

The inequality$ |x|≥3$ can be calculated as follows: We know that if$ |x|≥a$, then $x≤-a,x≥a$ … (1) Now, apply equation (1) for expression$ |x|≥3$ to get $x≤-3,x≥3$ Hence, the solution set is$(-∞, -3]∪ [3, ∞)$.
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