Question

graph {x | x ≤ 4}. 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 inequality type

The inequality \(x\leq4\) is a less - than or equal to inequality.

Step2: Determine the endpoint

The endpoint of the solution set is \(x = 4\). Since the inequality is \(\leq\), the endpoint is included in the solution set, so we use a closed circle at \(x = 4\) on the number - line.

Step3: Determine the direction of the solution set

The values of \(x\) that satisfy the inequality are all numbers less than or equal to 4. So, we draw a ray to the left of \(x = 4\) to represent all such values.

Answer:

On the number - line, place a closed circle at \(x = 4\) and draw a ray to the left of \(x = 4\) towards negative - infinity.