In this video, the steps and rules used to solve rational inequalities are presented through examples.
The solutions to the following examples on rational inequalities are presented in the video below.
Solve the rational inequalities below and write the solution set using the inequality symbols, the number line (graphically) and the interval notation then compare your solutions to thet in the video below.
Example 1
\[ \frac{\left(x+4\right)\left(x-5\right)}{x+3}\:\le 0 \]
Example 2
\[ \frac{x+8}{9-x^2} \ge \:2 \]
Example 3
\[ \displaystyle \frac{1+\frac{1}{x+1}}{x+3}\ge 0 \]