Question

graph.
x ≤ 500
to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.

Explanation:

Step1: Analyze the inequality

The inequality \(x\leq500\) means all values of \(x\) that are less than or equal to \(500\).

Step2: Plot the endpoint

On the number - line, we plot a closed circle at \(x = 500\) because the inequality includes equality (\(x=500\) is part of the solution set).

Step3: Draw the ray

Since \(x\) can be less than \(500\), we draw a ray to the left of \(500\) (towards the smaller numbers).

Answer:

A closed circle at \(500\) and a ray extending to the left on the number - line.