Question

graph the compound inequality.
x < -75 or x > -74
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 -75 and -74.

Step2: Determine the type of endpoints

Since the inequalities are $x < - 75$ and $x > - 74$, both endpoints are open. On the number - line, we represent open - endpoints with open circles.

Step3: Graph the solution

For $x < - 75$, we draw a ray to the left of -75 (with an open circle at -75). For $x > - 74$, we draw a ray to the right of -74 (with an open circle at -74).

Answer:

On the number - line, place open circles at -75 and -74. Draw a ray to the left of -75 and a ray to the right of -74.