Answer
(-16,19]
Work Step by Step
Multiply each side by -5. Because it is negative, you must switch the signs as well. Then add both sides by 4 to isolate $x$.
-3$\leq$$\frac{x-4}{-5}$$\lt$4
15$\geq$$x$-4$\gt$-20
19$\geq$$x$$\gt$-16
(-16,19]