Question

graph the compound inequality. -2 ≤ x < -1 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 left - hand endpoint

The left - hand endpoint of the inequality $-2\leq x\lt - 1$ is $x = - 2$. Since the inequality has $\leq$, we use a closed circle at $x=-2$ on the number line.

Step2: Identify right - hand endpoint

The right - hand endpoint is $x=-1$. Since the inequality has $\lt$, we use an open circle at $x = - 1$ on the number line.

Step3: Draw the segment

Draw a line segment connecting the closed circle at $x=-2$ and the open circle at $x = - 1$ on the number line.

Answer:

On the given number line, place a closed circle at $-2$ and an open circle at $-1$, then draw a line segment between them.