Answer
$10.5\leq x\leq13.5$
See graph
Work Step by Step
For
$$3.2\leq0.4x-1$$
$$3.2+1\leq0.4x-1+1$$
$$4.2\leq0.4x$$
$$\frac{4.2}{0.4}\leq\frac{0.4x}{0.4}$$
$$10.5\leq x$$
$$x\geq 10.5$$
For
$$0.4x-1\leq4.4$$
$$0.4x-1+1\leq4.4+1$$
$$0.4x\leq5.4$$
$$\frac{0.4x}{0.4}\leq\frac{5.4}{0.4}$$
$$x\leq 13.5$$
Combining:
$$x\geq10.5\text{ and }x\leq13.5$$
$$10.5\leq x\leq13.5$$
The graph of the solution set is as shown.
