Section 1: Rational Inequalities
It is commonly observed in a precalculus class that, despite many warnings and demonstrations, students “cross multiply out” denominators. The fact that denominators provide valuable information should be emphasized. As before, technology helps, but students are better served if it is not used.
In this module we extend the notions introduced in polynomial inequalities to rational inequalities. In addition to zeros of the function we must also include singular points to study the sign of a rational function.
- zeros and singular points of rational functions
- addition and subtraction of rational expressions
- Solve a rational inequality
- Write the solution in terms of interval notation