Question

graph the compound inequality.
x ≥ 191 and x < 197
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 \(x\geq191\)

For \(x\geq191\), we use a closed - circle at \(x = 191\) (because the inequality includes equality) and draw a ray to the right.

Step2: Analyze the inequality \(x<197\)

For \(x<197\), we use an open - circle at \(x = 197\) (because the inequality does not include equality) and draw a ray to the left.

Step3: Find the intersection

Since the compound inequality is \(x\geq191\) and \(x<197\), we take the overlapping part of the two rays.

Answer:

We plot a closed - circle at \(191\) and an open - circle at \(197\) and connect them with a line segment.