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.
