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: 27

Answer

$(-\infty, 3)$

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) --- $ 5x+11\lt 26\qquad $ ... $/-11$ $ 5x\lt 15\qquad $ ... $/\div 3$, (positive) $ x\lt 3$ The solution set is $(-\infty, 3)$ .
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