Question

graph the compound inequality.
-480 < x ≤ -440
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 inequality symbols

For \( - 480

Step2: Plot the points on the number - line

Locate \(-480\) and \(-440\) on the given number - line. Place an open - circle at \(-480\) (since \(x\) is greater than \(-480\) but not equal to it) and a closed - circle at \(-440\) (since \(x\) is less than or equal to \(-440\)).

Step3: Connect the points

Draw a line segment connecting the open - circle at \(-480\) and the closed - circle at \(-440\) to represent all the values of \(x\) that satisfy the compound inequality \(-480 < x\leq - 440\).

Answer:

Plot an open - circle at \(-480\) and a closed - circle at \(-440\), then connect them with a line segment.