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: 52


$(-∞, -4]∪ [2, ∞)$

Work Step by Step

The inequality$ |x+1|≥3$ can be calculated as follows: If$ |x|≥a$ then: $x≤-a,x≥a$ … (1) Now, apply equation (1) for expression$ |x+1|≥3$ to get $x+1≤-3,x+1≥3$ This implies $x≤-4,x≥2$ Hence, the solution set is$(-∞, -4]∪ [2, ∞)$.
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