Question

graph the compound inequality.
-3 ≤ x ≤ 0
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: Understand the inequality

The compound inequality \(-3\leq x\leq0\) means \(x\) is greater than or equal to \(-3\) and less than or equal to \(0\).

Step2: Plot the endpoints

• For \(x = - 3\), since the inequality is \(\geq\) (greater than or equal to), we use a closed - circle at \(x=-3\).
• For \(x = 0\), since the inequality is \(\leq\) (less than or equal to), we use a closed - circle at \(x = 0\).

Step3: Connect the endpoints

Draw a line segment connecting the two closed - circles (at \(x=-3\) and \(x = 0\)) on the number line.

Answer:

Plot a closed - circle at \(x=-3\), a closed - circle at \(x = 0\), and connect them with a line segment on the number line.