## Elementary Algebra

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