Question

graph the compound inequality.
6 ≤ x < 8
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 for endpoint type

For \(6\leq x\), since the inequality is \(\leq\), the endpoint \(x = 6\) is a closed - circle. For \(x<8\), since the inequality is \(<\), the endpoint \(x = 8\) is an open - circle.

Step2: Determine the region on the number line

The compound inequality \(6\leq x<8\) means \(x\) is greater than or equal to \(6\) and less than \(8\). So we draw a line segment connecting the closed - circle at \(6\) and the open - circle at \(8\).

Answer:

On the number line, place a closed - circle at \(6\) and an open - circle at \(8\), then draw a line segment between them.