Question

solve the linear inequality for w. write your answer in inequality notation: 4 ≥ 3w - 2

Explanation:

Step1: Add 2 to both sides

To isolate the term with \( w \), we add 2 to both sides of the inequality \( 4 \geq 3w - 2 \). This gives us \( 4 + 2 \geq 3w - 2 + 2 \), which simplifies to \( 6 \geq 3w \).

Step2: Divide both sides by 3

Next, we divide both sides of the inequality \( 6 \geq 3w \) by 3 to solve for \( w \). This gives us \( \frac{6}{3} \geq \frac{3w}{3} \), which simplifies to \( 2 \geq w \) or equivalently \( w \leq 2 \).

Answer:

\( w \leq 2 \)