Question

How do I solve the rational inequality $\dfrac{x-4}{x+5}<4$ using a TI-84?

Answer 1

As TI-84 is the graphing calculator. To solve the inequality by using TI-84 we need to graph the given equations in the TI-84 calculator by using some steps.

Complete step by step answer:
We have been given a rational inequality $\dfrac{x-4}{x+5}<4$.
We have to solve the equation by using TI-84.
As we know that TI-84 is a graphing calculator that enables 16-digits on its display.
Now, for solving an equation by using the TI-84 we need to follow some steps given below:
First we need to enter the left side of the equation into Y1.
Then enter the right side of the equation into Y2.
Then use the INTERSECT option.
It is necessary to include the parenthesis for the denominators in this problem.
The graph is shown on the screen of TI-84 calculator.

Note: The point to note is that to see the intersection point we need to adjust the window by using the ZOOM option. Generally we can solve the inequality equations by graphing method. For this first we need to set the numerator equal to zero and solve the equation for x. Then we put the denominator equal to zero and solve the equation for the x. By solving both we get the interval for the values of x and then by the help of these values we can plot a graph for the given equation.