# The Real Numbers Sets of Numbers

May 28th, 2015
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The set of rational numbers contains all numbers that can be written as fractions, or quotients of integers. Integers are also rational numbers since they can be represented as fractions. All decimals that repeat or terminate belong to the set of

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TABLE OF CONTENTSModule One - Algebraic ExpressionsThe Real NumbersExponentsRadicalsPolynomialsFactoringComplex NumbersModule Two - Equations and InequalitiesLinear EquationsApplications of Linear EquationsQuadratic EquationsApplications of Quadratic EquationsVariationInequalitiesAbsolute Value Equations and InequalitiesModule Three Relations and FunctionsRelationsFunctionsLinear FunctionsEquations of a LineGraphing Relations and FunctionsGeneral Graphing TechniquesAlgebra of FunctionsModule Four Polynomial and Rational FunctionsQuadratic FunctionsSynthetic DivisionZeros of Polynomial FunctionsGraphs of Polynomial FunctionsRational FunctionsModule Five Exponential and Logarithmic FunctionsExponential FunctionsLogarithmic FunctionsEvaluating Logarithms; Change of BaseExponential and Logarithmic EquationsExponential Growth or DecayModule Six Systems of Equations and InequalitiesLinear Systems of EquationsNonlinear Systems of EquationsMatrix Solution of Linear EquationsDeterminantsCramers RuleSystems of Inequalities; Linear ProgrammingThe Real NumbersSets of NumbersNatural Numbers {1, 2, 3, 4, . . .}Whole Numbers {0, 1, 2, 3, 4, . . .}Integers {. . . , -3, -2, -1, 0, 1, 2, 3, . . .}Rational Numbers {| p and q are integers and q0 }The set of rational numbers contains all numbers that can be written as fractions, or quotients of integers. Integers are also rational numbers since they can be r

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