Question

graph the compound inequality.
x > -90 and x ≤ -82
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: Plot the endpoints

For \(x > - 90\), we use an open circle at \(x=-90\) (because the inequality is strict, \(x\) is not equal to \(-90\)). For \(x\leq - 82\), we use a closed circle at \(x = - 82\) (because \(x\) can be equal to \(-82\)).

Step2: Draw the segment

Since the compound inequality is \(x>-90\) and \(x\leq - 82\), we draw a segment connecting the open - circle at \(-90\) and the closed - circle at \(-82\).

Answer:

Plot an open circle at \(-90\) and a closed circle at \(-82\), then draw a line segment between them on the number line.