## Elementary Algebra

Published by Cengage Learning

# Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.5 - Inequalities, Compound Inequalities, and Problem Solving - Problem Set 4.5 - Page 175: 42

#### Answer

The solution set is {x|x $\leq$ 500} , or (-$\infty$,500] in interval notation.

#### Work Step by Step

We use the properties of inequalities to solve this inequality. 0.08x + 0.09(2x) $\leq$ 130 0.08x + 0.18x $\leq$ 130 0.26x $\leq$ 130 Divide both sides by 0.26 to obtain: x $\leq$ 500 The solution set is {x|x $\leq$ 500} , or (-$\infty$,500] in interval notation.

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