College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 5 - Systems of Equations and Inequalities - Exercise Set 5.5 - Page 572: 69

Answer

$\left\{\begin{array}{l} -2 \leq x \leq 2 \\ -3 \leq y \leq 3 \end{array}\right.$ .
1512128755

Work Step by Step

$|x| \leq 2\quad \Leftrightarrow\quad -2 \leq x \leq 2$ $|y| \leq 3\quad \Leftrightarrow\quad -3 \leq y \leq 3$ So the system is $\left\{\begin{array}{l} -2 \leq x \leq 2 \\ -3 \leq y \leq 3 \end{array}\right.$ Graphing: $-2 \leq x \leq 2 $ is the region between lines $x=-2$ and $x=2$ (solid lines, since the inequality signs are $\leq$ ) $-3 \leq y \leq 3 $ is the region between lines $y=-3$ and $y=3$ (solid lines, since the inequality signs are $\leq$ ) The solution set is the set with both shadings.
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.