Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.8 - Inequalities - 1.8 Exercises - Page 88: 3

Answer

a) [-3,3] b) (-infinity, -3],[3, infinity)

Work Step by Step

a) the absolute value means the we have either $x \leq 3$, in other words x between (-infinity, 3], or $ -x \leq 3$, which is equal to $ x \geq -3$, to x between [-3, infinity). The intersection of these two intervals is indeed [-3,3] b) The absolute value means the we have either $x \geq 3$, in other words x between [3, infinity), or $ -x \geq 3$, which is equal to $ x \leq -3$, to x between (-infinity, -3]. The union of these two intervals is indeed (-infinity, -3],[3, infinity)
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.