Question

graph the compound inequality. 1 < x ≤ 5 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 $x = 1$ and $x=5$.

Step2: Determine the type of endpoints

Since $1 < x$, the endpoint at $x = 1$ is open. Since $x\leq5$, the endpoint at $x = 5$ is closed.

Step3: Plot on the number - line

On the number - line, mark an open circle at $x = 1$ and a closed circle at $x = 5$, and draw a line segment connecting them.

Answer:

On the given number - line, place an open circle at $x = 1$ and a closed circle at $x = 5$, and draw a line segment between them.