How do I solve the rational inequality (x-4)/(x+5)<4 using a TI-84?

1 Answer
Anirudh E.
Nov 23, 2017

See below.

Explanation:

There are no ways to solve a rational inequality on a TI-84 algebraically. However, graphing can give you a solution.

We will need to graph the two following equations on your TI-84 calculator:

y_1=(x-4)/(x+5)

y_2=4

For reference, you basically graph the left and right sides of the original rational inequality as two separate equations. Then, you adjust the window on your TI-84 so that you can see all of the graph. Now, look for the areas where the graph of y_2 has a greater y-value than the graph of y_1. These area(s) will be your solution(s) to this rational inequality.

I hope that helps!

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