## Precalculus (6th Edition) Blitzer

Published by Pearson

# Chapter P - Section P.9 - Linear Inequalities and Absolute Value Inequalities - Exercise Set - Page 138: 35

#### Answer

The solution set is $[0, \infty)$.

#### 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). --- $4(x+1)+2 \geq 3x+6\qquad$ ... distribute, simplify $4x+4+2 \geq 3x+6$ $4x+6 \geq 3x+6\qquad$ ... $/-6-3x$ $x \geq 0$ The solution set is $[0, \infty)$.

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