Chapter 6.5, Problem 49E

To determine

To calculate:

The solution of the following inequality equation by using the graphing method:

  $x^2-4>0$

Explanation of Solution

Given information:

  $x^2-4>0$

Calculation:

To solve the given equation, need to use the graphing method as:

First number the given eq. (1): $x^2-4>0$

Now, draw a graph of the eq. (1) by using the Desmos graphing calculator:

  

From the graph the shaded are is the solution of the given equation. Therefore, solution of the inequality equation $x^2-4>0$ is $\left(-\infty ,-2\right)\cup \left(2,\infty \right)$ .