Question

graph the compound inequality.
-144 < x < -140
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: Analyze the inequality type

The compound inequality \(-144 < x < -140\) is a strict inequality (no "or equal to"), so the endpoints \(-144\) and \(-140\) are not included in the solution set.

Step2: Plot the endpoints

On the number - line, for \(x=-144\), we use an open circle (because \(x > - 144\), not \(x\geq - 144\)). For \(x = - 140\), we also use an open circle (because \(x < - 140\), not \(x\leq - 140\)).

Step3: Draw the segment

Connect the two open - circles with a line segment to represent all the values of \(x\) that satisfy \(-144 < x < -140\).

Answer:

Plot open circles at \(x=-144\) and \(x = - 140\), then draw a line segment between them on the number - line.