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 138: 33


The solution set is $(-\displaystyle \infty,-\frac{2}{5} ]$

Work Step by Step

The idea is to isolate x on one side. Adding, subtracting or multiplying/dividing with a positive number preserves order (the inequality symbol remains). Multiplying/dividing with a negative number inverts the order (the inequality symbol changes). --- $ 8x-11 \leq 3x-13\qquad $ ... $/+11-3x $ $ 8x-3x \leq - 13+11$ $ 5x \leq -2\qquad $ ... $/\div 5$ (positive) $ x \displaystyle \leq-\frac{2}{5}$ The solution set is $(-\displaystyle \infty,-\frac{2}{5} ]$
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.