Question

graph the compound inequality.
-4 ≤ x < -3
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 \(-4\leq x < -3\) means \(x\) is greater than or equal to \(-4\) and less than \(-3\).

Step2: Plot the endpoints

• For \(x = -4\), since the inequality is \(\leq\) (less than or equal to), we use a closed - circle at \(-4\) on the number line.
• For \(x=-3\), since the inequality is \(<\) (less than), we use an open - circle at \(-3\) on the number line.

Step3: Connect the endpoints

We draw a line segment connecting the closed - circle at \(-4\) and the open - circle at \(-3\) to represent all the values of \(x\) that satisfy the compound inequality \(-4\leq x < -3\).

Answer:

Plot a closed - circle at \(-4\) and an open - circle at \(-3\) and connect them with a line segment on the number line.