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: 51


$(-∞, -7]∪ [-3, ∞)$

Work Step by Step

The inequality$ |x+5|≥2$ can be calculated as follows: If$ |x|≥a$, then $x≤-a,x≥a$ … (1) Now, apply equation (1) for the expression$ |x+5|≥2$ to get $x+5≤-2,x+5≥2$ This implies $x≤-7,x≥-3$ Hence, the solution set is$(-∞ -7]∪ [-3, ∞)$.
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