## Elementary Algebra

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