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

The compound inequality \(6 < x\leq8\) means \(x\) is greater than \(6\) and less than or equal to \(8\).

Step2: Plot the endpoints

• For \(x = 6\), since \(x>6\), we use an open - circle at \(x = 6\).
• For \(x = 8\), since \(x\leq8\), we use a closed - circle at \(x = 8\).

Step3: Draw the segment

Connect the open - circle at \(6\) and the closed - circle at \(8\) with a line segment.

Answer:

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