Question

graph the compound inequality.
-406 < x ≤ -402
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.
-412 -410 -408 -406 -404 -402
submit

Explanation:

Step1: Analyze the inequality symbols

For \( - 406\lt x\), the symbol is \( \lt\), so at \(x = - 406\) we use an open - circle. For \(x\leq - 402\), the symbol is \( \leq\), so at \(x=-402\) we use a closed - circle.

Step2: Determine the interval

The compound inequality \( - 406\lt x\leq - 402\) means \(x\) is greater than \( - 406\) and less than or equal to \( - 402\). So we draw a line segment connecting the open - circle at \(x = - 406\) and the closed - circle at \(x=-402\).

Answer:

On the number line, place an open - circle at \(x=-406\) and a closed - circle at \(x = - 402\), then connect them with a line segment.