This math topic focuses on solving rational function inequalities. It involves analyzing the conditions under which the quotient of two polynomial functions meets a specific inequality criteria (either greater than or less than zero). The problems require finding the solution set for inequalities that contain rational expressions with various polynomial factors, some of which have multiplicity, and determining which ranges of the variable satisfy the inequality. This is an introductory exploration into understanding how different factors and their multiplicities affect the sign of a rational function across its domain.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.