We are going to continue solving inequalities that contain rational expressions; however, you will be using a graph instead of a table find the solutions on your graphing calculator

Example 1

Solve the following inequality using the graph feature on your calculator.

x plus one over four minus x squared x + 1 4 − x² ≥ 0

Watch the following video for an explanation of how to solve this inequality on your calculator using a graph. You should follow along with your calculator as the instructor solves the problem on his.

Now that you've watched the video, try solving the two problems below on your own. When you think you have the right answer, click "Check Answer" to see if you are correct.

Problem 1

Solve one over x plus four 1 x + 4 + one over x minus four 1 x - 4 > x squared minus forty-eight over x squared minus sixteen x² − 48 x² − 16 using the graphing feature on your calculator.

Interactive popup. Assistance may be required.

Check Answer

When -6 < x < -4 or 4 < x < 8, then one over x plus four 1 x + 4 + one over x minus four 1 x − 4 > x squared minus forty-eight x² − 48 x² − 16

Problem 2

Solve x squared over five plus x squared x² 5 + x² > 0 using the graphing feature on your calculator.

Interactive popup. Assistance may be required.

Check Answer

For all real values of x except x ≠ 0, then x squared over five plus x squared x² 5 + x² > 0