## 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: 41

#### Answer

The solution set is {x|x $\leq$ 50} , or (-$\infty$,50] in interval notation.

#### Work Step by Step

We use the properties of inequalities to solve this inequality. 0.06x + 0.08(250 - x) $\geq$ 19 Use the distributive property. 0.06x + 20 - 0.08x $\geq$ 19 -0.02x $\geq$ -1 Divide both sides by -0.02 to obtain: x $\leq$ 50 (Multiplying or dividing both sides of an inequality by a negative number reverses the sense of the inequality.) The solution set is {x|x $\leq$ 50} , or (-$\infty$,50] in interval notation.

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