Question

graph. x ≤ 83 plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.

Explanation:

Step1: Identify the inequality type

The inequality $x\leq83$ is a less - than or equal to type.

Step2: Determine the endpoint

The endpoint of the inequality is $x = 83$. Since it is $\leq$, we use a closed circle at $x = 83$ on the number line.

Step3: Determine the direction of the graph

The values of $x$ that satisfy the inequality are all values less than or equal to 83. So, we draw a ray starting from the closed - circle at 83 and going to the left.

Answer:

On the given number line, place a closed circle at 83 and draw a ray extending to the left from that closed circle.