Question

solve the inequality for w.
5w + 10 < 65
simplify your answer as much as possible.

Explanation:

Step1: Subtract 10 from both sides

To isolate the term with \( w \), we subtract 10 from both sides of the inequality \( 5w + 10 < 65 \). This gives us \( 5w + 10 - 10 < 65 - 10 \), which simplifies to \( 5w < 55 \).

Step2: Divide both sides by 5

To solve for \( w \), we divide both sides of the inequality \( 5w < 55 \) by 5. This gives us \( \frac{5w}{5} < \frac{55}{5} \), which simplifies to \( w < 11 \).

Answer:

\( w < 11 \)