The document discusses solving rational inequalities. It explains the steps to solve rational inequalities which are to simplify the expression so zero is on one side, factor any quadratics, place critical numbers on a number line, test points in intervals to determine if the expression is positive or negative, and state the solution intervals. It then works through examples of solving various rational inequalities graphically and algebraically, placing the critical numbers on a number line and determining the intervals where the expressions are positive or negative.