## Elementary Algebra

Published by Cengage Learning

# Chapter 4 - Proportions, Percents, and Solving Inequalities - Chapters 1-4 Cumulative Review Problem Set - Page 187: 43

#### Answer

The solution set is {t|t $\lt$ 100} , or (-$\infty$, 100) in interval notation.

#### Work Step by Step

Use the properties of inequalities to solve this inequality. 0.08t + 0.1(300 - t) $\gt$ 28 Multiply both sides by 100 to clear the equation of all decimals. 8t + 10(300 - t) $\gt$ 2800 Use the distributive property. 8t + 3000 - 10t $\gt$ 2800 3000 - 2800 $\gt$ 10t - 8t 200 $\gt$ 2t Divide both sides by 2. 100 $\gt$ t The solution set is {t|t $\lt$ 100} , or (-$\infty$, 100) in interval notation.

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