Question

graph the compound inequality.
x > 40 and x < 70
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 inequalities

The compound inequality \(x > 40\) and \(x < 70\) means \(x\) is greater than \(40\) but less than \(70\).

Step2: Plot the endpoints

For \(x>40\), we use an open - circle at \(x = 40\) (because \(40\) is not included in the solution set). For \(x<70\), we use an open - circle at \(x = 70\) (because \(70\) is not included in the solution set).

Step3: Draw the segment

Connect the two open - circles to represent all the values of \(x\) that satisfy both inequalities.

Answer:

Plot an open - circle at \(40\) and an open - circle at \(70\), then draw a line segment between them on the number line.