Question

graph the compound inequality.
x ≤ 8 or x ≥ 9
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: Understand inequality symbols

The symbol $\leq$ means less than or equal to and $\geq$ means greater than or equal to. For $x\leq8$, 8 is included (closed - circle) and values to the left are part of the solution. For $x\geq9$, 9 is included (closed - circle) and values to the right are part of the solution.

Step2: Plot on number line

On a number - line, place a closed circle at $x = 8$ and draw a ray to the left to represent all $x$ such that $x\leq8$. Place a closed circle at $x = 9$ and draw a ray to the right to represent all $x$ such that $x\geq9$.

Answer:

On the number - line, there is a closed circle at $x = 8$ with a ray extending to the left and a closed circle at $x = 9$ with a ray extending to the right.