Question: Solve the inequality for x. -\frac{5}{2} < \frac{x}{16} Simplify your answer as much as…

Solve the inequality for x. -\frac{5}{2} < \frac{x}{16} Simplify your answer as much as possible.

Solution

Solve the inequality: \[ -\frac{5}{2} < \frac{x}{16} \] First, multiply both sides of the inequality by 16 to eliminate the fraction: \[ 16 \cdot \left(-\frac{5}{2}\right) < 16 \cdot \frac{x}{16} \] Simplify the left side: \[ -40 < x \] Thus, the solution to the inequality is: \[ x > -40 \]