#### Answer

The solution set is {t|t $\gt$ 200} , or (200, $\infty$) in interval notation.

#### Work Step by Step

We use the properties of inequalities to solve this inequality.
0.07t + 0.08(t + 100) $\gt$ 38
Use the distributive property.
0.07t + 0.08t + 8 $\gt$ 38
0.15t $\gt$ 30
Divide both sides by 0.15 to obtain:
t $\gt$ 200
The solution set is {t|t $\gt$ 200} , or (200, $\infty$) in interval notation.