Question

solve the inequality for w.
$-\frac{5}{3} geq \frac{w}{12}$
simplify your answer as much as possible.

Explanation:

Step1: Multiply both sides by 12

To eliminate the denominator on the right side, we multiply both sides of the inequality \(-\frac{5}{3} \geq \frac{w}{12}\) by 12. When we do this, we get \(12\times(-\frac{5}{3}) \geq 12\times\frac{w}{12}\).

Step2: Simplify both sides

Simplifying the left side: \(12\times(-\frac{5}{3}) = -20\). Simplifying the right side: \(12\times\frac{w}{12}=w\). So the inequality becomes \(-20 \geq w\), which can also be written as \(w \leq -20\).

Answer:

\(w \leq -20\)