Question

graph the compound inequality.
$x>300$ and $x<800$
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 signs

For \(x > 300\), the endpoint \(300\) is open (not included). For \(x < 800\), the endpoint \(800\) is open (not included).

Step2: Determine the interval

The compound inequality \(x>300\) and \(x < 800\) represents the interval \((300,800)\) on the number - line.

Answer:

On the number - line, place an open circle at \(x = 300\) (because \(x>300\) means \(300\) is not part of the solution) and an open circle at \(x = 800\) (because \(x < 800\) means \(800\) is not part of the solution). Then draw a line segment connecting these two open circles.