Question

graph the compound inequality.

$x\geq847$ and $x < 849$

plot the endpoints. select an endpoint to change it from closed to open. select the a segment, ray, or line to delete it.

Explanation:

Step1: Analyze the inequalities

We have two inequalities \(x\geq847\) (which means \(x\) is greater than or equal to \(847\)) and \(x < 849\) (which means \(x\) is less than \(849\)).

Step2: Plot the endpoints

For \(x\geq847\), we use a closed - circle at \(x = 847\) (because the inequality includes equality). For \(x<849\), we use an open - circle at \(x = 849\) (because the inequality does not include equality).

Step3: Draw the segment

Since \(x\) must satisfy both inequalities simultaneously, we draw a segment connecting the closed - circle at \(847\) and the open - circle at \(849\).

Answer:

Plot a closed - circle at \(847\) and an open - circle at \(849\), then draw a segment between them on the number line.