Question

solve for w.
15 < 5w

Explanation:

Step1: Divide both sides by 5

To solve for \( w \) in the inequality \( 15 < 5w \), we divide both sides of the inequality by 5. Since 5 is a positive number, the direction of the inequality sign remains the same. So we have \( \frac{15}{5} < \frac{5w}{5} \).

Step2: Simplify both sides

Simplifying the left - hand side, \( \frac{15}{5}=3 \), and simplifying the right - hand side, \( \frac{5w}{5} = w \). So the inequality becomes \( 3 < w \), which can also be written as \( w>3 \).

Answer:

\( w > 3 \)