# Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.5 - Inequalities, Compound Inequalities, and Problem Solving - Problem Set 4.5 - Page 175: 39

The solution set is {t|t $\gt$ 300} , or (300, $\infty$) in interval notation.

#### Work Step by Step

We use the properties of inequalities to solve this inequality. 0.09t + 0.1(t + 200) $\gt$ 77 Use the distributive property. 0.09t + 0.1t + 20 $\gt$ 77 0.19t $\gt$ 57 Divide both sides by 0.19 to obtain: t $\gt$ 300 The solution set is {t|t $\gt$ 300} , or (300, $\infty$) in interval notation.

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