# Examples of Inequality and Compound Inequality

__Example:__

**Solve and graph the solution of the inequality **

__Solution:__

We have

Thus, the solution set is

Solution Set

The graph of the solution set is

__Example:__

**Solve and graph the solution of the inequality .**

__Solution:__

We have

Here equality is not possible because 13 is always greater than 12, in . So, the solution of the given inequality is the set of all real numbers is .

The solution can be written as