We are going to continue solving inequalities that contain exponential expressions, but in this section, will find the solutions on your graphing calculator using a graph instead of a table.

Example 1: Solve the following inequality using the graph feature on your calculator. e^3x < e^{x - 1}

Note that e is a constant. It's sort of like the number π. Its value is about 2.718. It's okay if you haven't worked with e in any problems up until now.

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 calculator.

Now that you've watched the video, try solving these to problems on your own. When you think you have the right answer, click on "Check Your Answer."

Practice 1

Solve -41(0.94)^x ≤ -30 using the graphing feature on your calculator.

Interactive popup. Assistance may be required.

Check Your Answer

When x ≤ 5.0484, then -41(0.94)^x ≤ -30

Practice 2

Solve 0.8^5x > 0.8 using the graphing feature on your calculator.

Interactive popup. Assistance may be required.

Check Your Answer

When x < 0, then 0.8^5x > 0.8