Cambridge IGCSE Additional Mathematics · Syllabus 0606 · Equations, Inequalities and Graphs
Modulus Inequality
What is Modulus Inequality?
A modulus inequality asks for every value of the variable whose distance from a fixed point satisfies a size condition. A 'less than' condition describes a single band centred on that point, while a 'greater than' condition describes the two outer rays that lie beyond it. The endpoints are included when the inequality is inclusive and excluded when it is strict. When a 'less than' inequality has a non-modulus side containing the variable, that side must first be required to be non-negative; a 'greater than' inequality carries no such condition, because a modulus is already greater than any negative right-hand side.
This definition is part of the Equations, Inequalities and Graphs chapter in Cambridge IGCSE Additional Mathematics.