Question

solve the inequality and graph the solution.
-16 ≤ 16q
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: Isolate the variable q

Divide both sides of -16 ≤ 16q by 16. Since 16>0, the inequality sign remains the same.
$\frac{-16}{16}\leq\frac{16q}{16}$

Step2: Simplify the inequality

-1 ≤ q or q ≥ - 1

Answer:

The solution of the inequality is q ≥ - 1. On the number - line, there is a closed - circle at - 1 (because the inequality includes equality) and the line extends to the right towards positive infinity.