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: 39

Answer

The solution set is $[6,\infty)$.
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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). --- $ 1-(x+3) \geq 4-2x\qquad $ ... distribute, simplify $1-x-3 \geq 4-2x $ $-x-2 \geq 4-2x\qquad $ ... $/+2x+2$ $ x \geq 6$ The solution set is $[6,\infty)$.
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