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 - Page 186: 41


The solution set is {n|n $\geq$ $\frac{7}{5}$ } , or [$\frac{7}{5}$, $\infty$) in interval notation.

Work Step by Step

We use the properties of inequalities to solve this inequality. -2(n-1) $\leq$ 3(n-2) + 1 Use the distributive property. -2n + 2 $\leq$ 3n -6 + 1 -2n + 2 $\leq$ 3n -5 5 + 2 $\leq$ 3n + 2n 7 $\leq$ 5n Divide both sides by 7. $\frac{7}{5}$ $\leq$ n The solution set is {n|n $\geq$ $\frac{7}{5}$ } , or [$\frac{7}{5}$, $\infty$) in interval notation.
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