Question

graph the compound inequality.
x ≤ -8 or x ≥ -3
plot the endpoints. select an endpoint to change it from closed to open. select the middle of a segment, ray, or line to delete it.

Explanation:

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

For \(x\leq - 8\), we use a closed circle at \(x = - 8\) (because the inequality includes equality, \(\leq\)) and draw a ray to the left (since \(x\) is less than or equal to \(-8\)).

Step2: Analyze the inequality \(x\geq - 3\)

For \(x\geq - 3\), we use a closed circle at \(x=-3\) (because the inequality includes equality, \(\geq\)) and draw a ray to the right (since \(x\) is greater than or equal to \(-3\)).

Answer:

On the number - line, place a closed circle at \(x = - 8\) and draw a ray to the left. Place a closed circle at \(x=-3\) and draw a ray to the right.