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The Humongous Book of Algebra Problems by W. Michael Kelley

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Chapter 21
RATIONAL EQUATIONS AND INEQUALITIES
The preceding chapter explored the arithmetic manipulation of rational
expressions; in this chapter, those skills are harnessed to solve rational
equations. In addition, this chapter explores direct and indirect variation,
as well as solving and graphing rational inequalities.
Make sure you’ve worked through Chapter 20 before you start this
chapter, so that you know how to add, subtract, multiply, and divide
fractions containing polynomials. You need those skills to solve equations
featuring those sorts of fractions.
This chapter also discusses variation in the form of word problems. You
describe a direct or indirect variation relationship using a rational
equation and then solve it.
Finally, this chapter explains how to solve inequalities that contain rational
expressions. Basically, you use a slightly modied version of the technique
described in Problems 14.3514.43 for solving quadratic inequalities.
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