Answer
The equivalent interval notation is $(-\frac{13}{4}, \frac{3}{4}]$.
Work Step by Step
$1$ $\leq$ $\frac{4x - 5}{-2}$ $\lt$ $9$
$1 * -2$ $\geq$ $4x - 5$ $\gt$ $9 * -2$ (Inequality sign reversed because of multiplication of -2)
$-2 + 5$ $\geq$ $4x$ $\gt$ $-18 + 5$
$\frac{3}{4}$ $\geq$ $x$ $\gt$ $- \frac{13}{4}$
The equivalent interval notation is $(-\frac{13}{4}, \frac{3}{4}]$.
