Question

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

Answer 1

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!