1. The problem is to solve the inequality $-9 > 2x$ and find the values of $x$ that satisfy it. 2. To solve inequalities, we use similar rules as equations, but when multiplying or dividing by a negative number, we must reverse the inequality sign. 3. Start by isolating $x$: $$-9 > 2x$$ Divide both sides by 2 (which is positive, so inequality sign stays the same): $$\frac{-9}{2} > x$$ 4. This can be rewritten as: $$x < \frac{-9}{2}$$ 5. Therefore, the solution to the inequality is all $x$ such that $x < -\frac{9}{2}$. This matches the choice $x < -9/2$. Hence, the best description of the solutions is $x < -9/2$.