Answer
$19$ $\geq$ $x$ $\gt$ $-16$
The equivalent interval notation is $(-16, 19]$.
Work Step by Step
$-3$ $\leq$ $\frac{x - 4}{-5}$ $\lt$ $4$
$-3 * -5$ $\geq$ $x - 4$ $\gt$ $4 * -5$ Inequality sign reversed because of multiplication of -5
$15 + 4$ $\geq$ $x$ $\gt$ $-20 + 4$
$19$ $\geq$ $x$ $\gt$ $-16$
The equivalent interval notation is $(-16, 19]$.