Elementary Algebra

Published by Cengage Learning

Chapter 4 - Proportions, Percents, and Solving Inequalities - Chapters 1-4 Cumulative Review Problem Set: 45

Answer

The solution set is {n|n $\geq$ 18} , or [18, $\infty$) in interval notation.

Work Step by Step

Use the properties of inequalities to solve this inequality. $\frac{2}{3}$n - 2 $\geq$ $\frac{1}{2}$n + 1 Add 2 to both sides. $\frac{2}{3}$n $\geq$ $\frac{1}{2}$n + 3 $\frac{2n}{3}$ $\geq$ $\frac{n}{2}$ + 3 $\frac{2n}{3}$ - $\frac{n}{2}$ $\geq$ 3 $\frac{4n}{6}$ - $\frac{3n}{6}$ $\geq$ 3 $\frac{n}{6}$ $\geq$ 3 Multiply both sides by 6. n $\geq$ 18 The solution set is {n|n $\geq$ 18} , or [18, $\infty$) in interval notation.

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