Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 4 - Proportions, Percents, and Solving Inequalities - Chapters 1-4 Cumulative Review Problem Set: 46

Answer

The solution set is {x|x $\lt$ $\frac{5}{3}$} , or (-$\infty$, $\frac{5}{3}$) in interval notation.

Work Step by Step

Use the properties of inequalities to solve this inequality. -3 $\lt$ -2(x - 1) - x Use the distributive property. -3 $\lt$ -2x + 2 - x -3 $\lt$ -3x + 2 -5 $\lt$ -3x Divide both sides by -1. (Remember, multiplying or dividing both sides of an inequality by a negative number reverses the sense of the inequality. 5 $\gt$ 3x Divide both sides by 3. $\frac{5}{3}$ $\gt$ x The solution set is {x|x $\lt$ $\frac{5}{3}$} , or (-$\infty$, $\frac{5}{3}$) in interval notation.
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