Question

graph the compound inequality.
x ≤ 0 or x ≥ 30
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 \(x\leq0\)

For \(x\leq0\), we plot a closed circle at \(0\) (since the inequality includes equality) and draw a ray to the left (towards negative infinity).

Step2: Analyze the inequality \(x\geq30\)

For \(x\geq30\), we plot a closed circle at \(30\) (since the inequality includes equality) and draw a ray to the right (towards positive infinity).

Answer:

On the number - line, there is a closed circle at \(0\) with a ray extending to the left and a closed circle at \(30\) with a ray extending to the right.