Question

graph {x | 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 the inequality type

The inequality $x > - 1$ is a strict - inequality.

Step2: Locate the endpoint on the number - line

The endpoint of the set $\{x|x > - 1\}$ is $x=-1$.

Step3: Determine the type of endpoint

Since it is a strict inequality ($>$), we use an open - circle at $x = - 1$.

Step4: Draw the graph

Draw a ray starting from the open - circle at $x=-1$ and extending to the right (towards positive infinity) on the number - line.

Answer:

On the given number - line, place an open - circle at $x=-1$ and draw a ray extending to the right from that open - circle.