Question

graph the compound inequality.
x < -8 or x > -7
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: Analyze the inequalities

The inequality $x < - 8$ represents all real - numbers less than $-8$. The inequality $x > - 7$ represents all real - numbers greater than $-7$.

Step2: Identify the endpoints

The endpoints of the intervals are $x=-8$ and $x = - 7$. Since the inequalities are $<$ and $>$, the endpoints are not included in the solution set. So, we use open - circles at $x=-8$ and $x=-7$.

Step3: Graph the solution

For $x < - 8$, we draw a ray to the left of $x=-8$. For $x > - 7$, we draw a ray to the right of $x=-7$.

Answer:

On the number line, place open - circles at $x=-8$ and $x=-7$. Draw a ray to the left of $x = - 8$ and a ray to the right of $x=-7$.