Question

graph the compound inequality.
-100 ≤ x ≤ -65
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.
submit

Explanation:

Step1: Analyze the inequality

The compound inequality \(-100\leq x\leq - 65\) means \(x\) is greater than or equal to \(-100\) and less than or equal to \(-65\).

Step2: Plot the endpoints

Since the inequality has \(\leq\) (not \(<\)), both endpoints \(-100\) and \(-65\) are closed circles.

Step3: Draw the segment

Connect the closed - circle at \(-100\) and the closed - circle at \(-65\) with a segment.

Answer:

Plot closed circles at \(-100\) and \(-65\) and draw a segment between them on the number line.