Question

solve the inequality and graph the solution.
-4s - 6 ≥ 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: Add 6 to both sides

$$-4s-6 + 6\geq2 + 6$$
$$-4s\geq8$$

Step2: Divide both sides by - 4 and reverse the inequality sign

When dividing an inequality by a negative number, the inequality sign flips.
$$\frac{-4s}{-4}\leq\frac{8}{-4}$$
$$s\leq - 2$$

Answer:

The solution of the inequality is \(s\leq - 2\). On the number - line, we plot a closed circle at \(s = - 2\) (because the inequality is \(\geq\) and after manipulation it's \(\leq\) with equality included) and draw a ray to the left of \(s=-2\).