Transcription of 1.7 Solving Absolute Value Equations and Inequalities
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1.7 Solving Absolute Value Equations and Inequalities
Page 1 of 250 Chapter 1 Equations and InequalitiesSolving Absolute ValueEquations and InequalitiesSOLVINGEQUATIONS ANDINEQUALITIESThe of a number x, written|x|, is the distance the number is from 0on a number line. Notice that the Absolute Value of a number is always Absolute Value of xcan be defined algebraically as , if xis positive|x| = 0, if x=0 x, if xis negativeTo solve an Absolute Value equation of the form |x| = cwhere c> 0, use the factthat xcan have two possible values: a positive Value cor a negative Value c. Forinstance, if |x| = 5, then x= 5 or x= an Absolute Value EquationSolve |2x 5| = the Absolute Value equation as two linear Equations and then solve eachlinear equation.
Page 1 of 2 1.7 Solving Absolute Value Equations and Inequalities 53 1.What is the absolute value of a number? 2.The absolute value of a number cannot be …
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