Question

graph {x | x ≥ 0 and x ≤ 5}.
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 inequality

The set \(\{x\mid x\geq0\) and \(x\leq5\}\) means \(0\leq x\leq5\).

Step2: Plot the endpoints

For \(x = 0\), since \(x\geq0\), we use a closed - circle (because the value \(x = 0\) is included in the set). For \(x = 5\), since \(x\leq5\), we use a closed - circle (because the value \(x = 5\) is included in the set).

Step3: Connect the endpoints

Draw a line segment connecting the closed - circle at \(x = 0\) and the closed - circle at \(x = 5\).

Answer:

Plot a closed - circle at \(x = 0\), a closed - circle at \(x = 5\), and draw a line segment between them on the number line.