Question: Solve the inequality for w. - \frac{4}{9} \leq 10w Simplify your answer as much as possible.

Solve the inequality for w.

• \frac{4}{9} \leq 10w Simplify your answer as much as possible.

Solution

Solve the inequality for \( w \): \[ -\frac{4}{9} \leq 10w \] First, divide both sides by 10 to isolate \( w \): \[ -\frac{4}{9 \times 10} \leq w \] Simplify the left side: \[ -\frac{4}{90} \leq w \] Reduce the fraction: \[ -\frac{2}{45} \leq w \] Thus, the solution is: \[ w \geq -\frac{2}{45} \]