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: 28

Answer

The solution set is $(-\infty, 6)$
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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) --- $ 2x+5\lt 17\qquad $ ... $/-5$ $ 2x\lt 12\qquad $ ... $/\div 2$, (positive) $ x\lt 6$ The solution set is $(-\infty, 6)$
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