Question

solve the inequality and graph the solution. -8s - 13 ≤ 19 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. submit

Explanation:

Step1: Add 13 to both sides

$$-8s-13 + 13\leq19 + 13$$
$$-8s\leq32$$

Step2: Divide both sides by -8 (and reverse the inequality sign)

When dividing an inequality by a negative number, the inequality sign flips.
$$\frac{-8s}{-8}\geq\frac{32}{-8}$$
$$s\geq - 4$$

Answer:

The solution of the inequality is \(s\geq - 4\). On the number - line, we plot a closed circle at \(-4\) (because the inequality includes equality, \(\leq\) after manipulation becomes \(\geq\) but the original inequality when solved for \(s\) has \(s\geq - 4\) and the original form \(a\leq b\) when manipulated by dividing by a negative gives the inclusive case) and draw a ray to the right.