#### Answer

The solution set is {x|x $\leq$ 50} , or (-$\infty$,50] in interval notation.

#### Work Step by Step

We use the properties of inequalities to solve this inequality.
0.06x + 0.08(250 - x) $\geq$ 19
Use the distributive property.
0.06x + 20 - 0.08x $\geq$ 19
-0.02x $\geq$ -1
Divide both sides by -0.02 to obtain:
x $\leq$ 50 (Multiplying or dividing both sides of an inequality by a negative number reverses the sense of the inequality.)
The solution set is {x|x $\leq$ 50} , or (-$\infty$,50] in interval notation.