Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Section P.9 - Linear Inequalities and Absolute Value Inequalities - Exercise Set - Page 137: 5

Answer

$\{x\ |\ \ -3 \leq x \leq 1\ \}$
1571326357

Work Step by Step

Recall the general rules for writing intervals: An interval may be annotated as $[a,b],\ (a,b],\ [a,b),\ (a,b),\ (-\infty,b],\ (-\infty,b),\ [a,\infty),\ (a,\infty).$ It contains numbers between the left and right borders. The inequality signs depend on whether a border is included in the set or not. The bracket "[", or "]" means "border included" and the sign is "$\leq $". The parenthesis "(" or ")" means "border excluded" and the sign is "$\lt $". $\pm\infty $ implies "no border", so it is always accompanied by a parenthesis For example $[a,b)=\{x\ |\ a\leq x\lt b\ \}$ $(-6,\infty)=\{x\ |\ x\gt-6\ \}$ $(-\infty,3]=\{x\ |\ \ x\leq 3\ \}$ --- Here, both borders are included, so: $[-3,1]$ = $\{x\ |\ \ -3 \leq x \leq 1\ \}$
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.