Answer
$(-\infty,-\frac{21}{2})$
Work Step by Step
Step 1. From $\frac{x}{3}-\frac{3}{4}-1\gt\frac{x}{2}$, we have $\frac{x}{6}\lt-\frac{7}{4}$. Thus $x\lt -\frac{21}{2}$ and in interval notation $(-\infty,-\frac{21}{2})$
Step 2. See graph for the interval on a number line.
