Question

graph the compound inequality. -6 < x ≤ -3 select an endpoint to change it from closed to open. select the middle of the endpoints. plot the endpoints, ray, segment, or line to delete it.

Explanation:

Step1: Understand the inequality

The compound - inequality is \(-6

Step2: Plot the endpoints

For \(x=-6\), since it is a strict inequality (\(-6 < x\)), we use an open circle at \(x = - 6\) on the number line. For \(x=-3\), since it is a non - strict inequality (\(x\leq - 3\)), we use a closed circle at \(x=-3\) on the number line.

Step3: Draw the segment

We draw a line segment between the two points to represent all the values of \(x\) that satisfy the inequality.

Answer:

Plot an open circle at \(x=-6\), a closed circle at \(x = - 3\), and draw a line segment between them on the number line.