In this video I show you how to solve fractional inequalities where some function of x is in the denominator. There are several methods available to solving these types and I will show you three methods. They are, two graphical methods, and one analytical method.

Example 1

Solve the following:

  1. x - 2 < \dfrac{3}{x}

Solution by graphical methods

Solution by analytical methods

Example 2

Solve the following:

  1. \dfrac{{3 - x}}{{x - 8}} \ge \dfrac{1}{x}

Solution by graphical methods – Method 1

Solution by graphical methods – Method 2

Solution by analytical methods