Question

graph the compound inequality.
-200 ≤ x < 400
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.
submit

Explanation:

Step1: Analyze the inequality symbols

For \( - 200\leq x\), the symbol \(\leq\) means the endpoint \(x = - 200\) is included. So, we use a closed - circle at \(x=-200\).
For \(x < 400\), the symbol \(<\) means the endpoint \(x = 400\) is not included. So, we use an open - circle at \(x = 400\).

Step2: Graph the solution set

Since \(x\) is greater than or equal to \(-200\) and less than \(400\), we draw a line segment connecting the closed - circle at \(-200\) and the open - circle at \(400\) on the number line.

Answer:

Graph with a closed - circle at \(-200\) and an open - circle at \(400\) and a line segment connecting them.