Question

graph the compound inequality.
x ≥ 780 and x ≤ 820
plot the endpoints. select an endpoint to change it from closed to open. sel
a segment, ray, or line to delete it.

Explanation:

Step1: Analyze the inequality signs

For \(x\geq780\), since the sign is \(\geq\), the endpoint \(780\) is closed. For \(x\leq820\), since the sign is \(\leq\), the endpoint \(820\) is closed.

Step2: Determine the interval

The compound inequality \(x\geq780\) and \(x\leq820\) represents the interval \([780,820]\). On the number - line, we draw a closed circle at \(780\) (because \(x = 780\) is included in the solution set, due to \(x\geq780\)) and a closed circle at \(820\) (because \(x = 820\) is included in the solution set, due to \(x\leq820\)), and then connect these two closed circles with a line segment.

Answer:

Plot a closed circle at \(780\), a closed circle at \(820\), and draw a line segment connecting them.