Question

solve the inequality and graph the solution.
16 ≥ 8(w - 2)
plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.
-5 -4 -3 -2 -1 0 1 2 3 4 5
submit

Explanation:

Step1: Divide both sides by 8

$\frac{16}{8} \geq \frac{8(w-2)}{8}$
$2 \geq w - 2$

Step2: Add 2 to both sides

$2 + 2 \geq w - 2 + 2$
$4 \geq w$ or $w \leq 4$

Step3: Graph the solution

On the number line, plot a closed endpoint at 4 (since the inequality includes equality, $w \leq 4$), then draw a ray extending to the left from 4 to include all values less than or equal to 4.

Answer:

The solution to the inequality is $w \leq 4$. For the graph: mark a closed dot at 4 on the number line, and shade/draw a ray pointing left from 4 to cover all numbers less than 4.