Question

solving multi-step inequal
solve the inequalities. then graph the solutio
$3w - 10 \geq -4$

Explanation:

Step1: Add 10 to both sides

$3w - 10 + 10 \geq -4 + 10$
$3w \geq 6$

Step2: Divide by 3 on both sides

$\frac{3w}{3} \geq \frac{6}{3}$
$w \geq 2$

Step3: Graph the solution

On the number line, plot a closed circle at 2 (since the inequality includes equality), then shade all values to the right of 2.

Answer:

The solution to the inequality is $w \geq 2$.
For the graph:

• Draw a number line with marked points. Place a filled (closed) circle at $2$.
• Draw a shaded arrow extending to the right from the closed circle to represent all values greater than or equal to 2.