Question

solve the inequality and graph the solution. 36 ≤ (m + 100)/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: Multiply both sides by 3

$36\times3\leq m + 100$
$108\leq m+ 100$

Step2: Subtract 100 from both sides

$108 - 100\leq m$
$8\leq m$ or $m\geq8$

Step3: Graph the solution

On the number - line, place a closed circle at 8 (because the inequality is $\geq$) and shade to the right of 8.

Answer:

The solution of the inequality is $m\geq8$. On the number - line, there is a closed circle at 8 and the line is shaded to the right of 8.