Question

solve the inequality for w. 10 < \frac{w}{-3} simplify your answer as much as possible.

Explanation:

Step1: Multiply both sides by -3

When multiplying an inequality by a negative number, the direction of the inequality sign changes. So $10\times(- 3)>\frac{w}{-3}\times(-3)$.
$10\times(-3)=-30$.

Step2: Simplify the right - hand side

$\frac{w}{-3}\times(-3)=w$. So $-30 > w$.

Answer:

$w < - 30$