Abstract

A major concern of algebra is the solution of equations. This chapter explores the answers to a few questions related to polynomial equations of the first and second degree. An equation states that two algebraic expressions are equal. The task is to find values of the unknown for which a particular equation holds true. These values are called solutions or roots of the equation, and the set of all solutions is called the solution set. The solutions of an equation depend on the number system being used. Linear inequalities play an important role in solving word problems. A solution of an inequality is a value of the unknown that satisfies the inequality, and the solution set is composed of all solutions. The chapter explains how to solve a linear inequality, that is, an inequality in which the unknown appears only in the first degree.

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