ABSTRACT
This chapter defines an inequality and states simple rules for inequalities. It solves simple inequalities, inequalities involving a modulus, inequalities involving quotients, inequalities involving square functions and quadratic inequalities. In mathematics, an inequality is a relation that holds between two values when they are different. A working knowledge of inequalities can be beneficial to the practising engineer, and inequalities are central to the definitions of all limiting processes, including differentiation and integration. When exact solutions are unavailable, inconvenient, or unnecessary, inequalities can be used to obtain error bounds for numerical approximation. Inequalities involving quadratic expressions are solved using either factorisation or ‘completing the square’.
