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: Identify the endpoints

The endpoints are $x = - 4$ and $x=-3$.

Step2: Determine the type of endpoints

For $x\geq - 4$, the endpoint $x = - 4$ is a closed - endpoint (represented by a filled - in circle on the number line). For $x < - 3$, the endpoint $x=-3$ is an open - endpoint (represented by an open circle on the number line).

Step3: Draw the segment

Draw a line segment on the number line between $x = - 4$ and $x=-3$ with a filled - in circle at $x = - 4$ and an open circle at $x=-3$.

Answer:

On the given number line, place a filled - in circle at $-4$ and an open circle at $-3$, and draw a line segment connecting them.