Question

graph the compound inequality.
x ≥ 0 and x < 2
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 \(x\geq0\)

For \(x\geq0\), we use a closed - circle at \(x = 0\) (because the inequality includes equality) and draw a ray to the right.

Step2: Analyze the inequality \(x<2\)

For \(x<2\), we use an open - circle at \(x = 2\) (because the inequality does not include equality) and draw a ray to the left.

Step3: Find the intersection

The compound inequality \(x\geq0\) and \(x<2\) is the intersection of the two sets. So we have a line segment from \(x = 0\) (closed - circle) to \(x=2\) (open - circle).

Answer:

Graph a line segment on the number line with a closed - circle at \(0\) and an open - circle at \(2\).