Question

solve the inequality for w.
6w > 42
simplify your answer as much as possible.

Explanation:

Step1: Divide both sides by 6

To solve for \( w \) in the inequality \( 6w > 42 \), we divide both sides by 6 (since 6 is positive, the inequality sign remains the same). So we have \( \frac{6w}{6} > \frac{42}{6} \).

Step2: Simplify both sides

Simplifying the left side, \( \frac{6w}{6} = w \). Simplifying the right side, \( \frac{42}{6} = 7 \). So we get \( w > 7 \).

Answer:

\( w > 7 \)