Question

graph the compound inequality.
x ≥ -5 and x < -4
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 first - inequality endpoint

For $x\geq - 5$, the endpoint is $x = - 5$. Since it is $\geq$, the endpoint is closed.

Step2: Identify the second - inequality endpoint

For $x\lt - 4$, the endpoint is $x=-4$. Since it is $\lt$, the endpoint is open.

Step3: Determine the solution interval

The solution of the compound - inequality $x\geq - 5$ and $x\lt - 4$ is the interval between $-5$ and $-4$, including $-5$ and excluding $-4$. On the number line, we mark a closed circle at $-5$ and an open circle at $-4$ and shade the region between them.

Answer:

On the number line, mark a closed circle at $-5$ and an open circle at $-4$ and shade the region between them.