Answer
$ x\leq 4$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow 5x-12\leq 3x-4$
Add $12-3x$ to each side.
$\Rightarrow 5x-12+12-3x\leq 3x-4+12-3x$
Simplify.
$\Rightarrow 2x\leq 8$
Divide each side by $2$.
$\Rightarrow \frac{2x}{2}\leq \frac{8}{2}$
Simplify.
$\Rightarrow x\leq 4$
Hence, the solution is $ x\leq 4$.
Use a close circle because $4$ is a solution.
Shade the number line on the left side.
