Question

graph {x | x > -3 and x < -1}.
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 inequalities

The set \(\{x\mid x > - 3\) and \(x < - 1\}\) means \(x\) is greater than \(-3\) but less than \(-1\).

Step2: Plot the endpoints

For \(x>-3\), at \(x = - 3\), we use an open circle (since \(x
eq - 3\)). For \(x < - 1\), at \(x=-1\), we use an open circle (since \(x
eq - 1\)).

Step3: Draw the segment

Connect the two open - circles (at \(x=-3\) and \(x = - 1\)) with a line segment on the number line.

Answer:

On the number line, place an open circle at \(x=-3\) and an open circle at \(x=-1\), then draw a line segment between them.