## Elementary Algebra

The solution set is {x|x $\leq$ 500} , or (-$\infty$,500] in interval notation.
We use the properties of inequalities to solve this inequality. 0.08x + 0.09(2x) $\leq$ 130 0.08x + 0.18x $\leq$ 130 0.26x $\leq$ 130 Divide both sides by 0.26 to obtain: x $\leq$ 500 The solution set is {x|x $\leq$ 500} , or (-$\infty$,500] in interval notation.