#### Answer

The solution set is {x|x $\leq$ 500} , or (-$\infty$,500] in interval notation.

#### Work Step by Step

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.