Question

solve the inequality and graph the solution.
5 ≥ \frac{w}{3}+ 3
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.

Explanation:

Step1: Subtract 3 from both sides

$5 - 3\geq\frac{w}{3}+3 - 3$
$2\geq\frac{w}{3}$

Step2: Multiply both sides by 3

$2\times3\geq\frac{w}{3}\times3$
$6\geq w$ or $w\leq6$

To graph: Place a closed - circle at 6 (because the inequality is $\leq$) on the number - line and shade to the left.

Answer:

The solution of the inequality is $w\leq6$. On the number - line, place a closed circle at 6 and shade to the left.