Question

solve the inequality for w.
8 ≥ 12 + w
simplify your answer as much as possible.

Explanation:

Step1: Subtract 12 from both sides

To solve the inequality \( 8 \geq 12 + w \) for \( w \), we start by subtracting 12 from both sides of the inequality. This is done to isolate the variable \( w \) on one side.
\[
8 - 12 \geq 12 + w - 12
\]

Step2: Simplify both sides

Simplifying the left - hand side: \( 8-12=-4 \).
Simplifying the right - hand side: \( 12 + w-12 = w \).
So we get \( - 4\geq w \), which can also be written as \( w\leq - 4 \).

Answer:

\( w\leq - 4 \)