Question

solve the inequality for w.
20 ≥ -17 + w
simplify your answer as much as possible.

Explanation:

Step1: Add 17 to both sides

To isolate \( w \), we add 17 to both sides of the inequality \( 20 \geq -17 + w \). This gives us \( 20 + 17 \geq -17 + 17 + w \).

Step2: Simplify both sides

Simplifying the left side: \( 20 + 17 = 37 \). Simplifying the right side: \( -17 + 17 = 0 \), so we have \( 37 \geq w \), or equivalently \( w \leq 37 \).

Answer:

\( w \leq 37 \)