Answer
$(-\infty,-\frac{2}{5}]$.
Work Step by Step
The given inequality is
$8x-11\leq 3x-13$
Add $11-3x$ to both sides.
$8x-11+11-3x\leq 3x-13+11-3x$
Simplify.
$5x\leq -2$
Divide both sides by $5$.
$\frac{5x}{5}\leq -\frac{2}{5}$
Simplify.
$x\leq -\frac{2}{5}$
Hence, the solution set is $(-\infty,-\frac{2}{5}]$.
The representation on a number line is shown below.
