Question

graph the compound inequality.
x < -8 or x ≥ -6
plot the endpoints. select an endpoint to change it from closed to open. sele
a segment, ray, or line to delete it.

Explanation:

Step1: Analyze the inequality \(x < - 8\)

For \(x < - 8\), we use an open circle at \(x=-8\) (because the value \(-8\) is not included in the solution set) and draw a ray to the left.

Step2: Analyze the inequality \(x\geq - 6\)

For \(x\geq - 6\), we use a closed circle at \(x = - 6\) (because the value \(-6\) is included in the solution set) and draw a ray to the right.

Answer:

On the number - line, there is an open circle at \(-8\) with a ray extending to the left and a closed circle at \(-6\) with a ray extending to the right.