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Equations and Inequalities - About
absolute - value Equations and Inequalities353 Solve absolute - value absolute - value Inequalities . To solve real-lifeproblemssuch as finding thewavelengths of differentcolors of fireworks inExs. 65 you should learn itGOAL2 GOAL1 What you should absolute -ValueEquations and InequalitiesSOLVINGABSOLUTE-VALUEEQUATIO NSYou can solve some absolute - value Equations using mental math. For instance,you learned in Lesson that the equation |x|= 8 has twosolutions: 8 and solve absolute - value Equations , you can use the fact that the expression insidethe absolute value symbols can be either positive or an absolute - value EquationSolve |x 2|= |x 2|= 5, the expression x 2 can be equal to 5 or to 2 IS POSITIVEx 2 IS NEGATIVE|x 2|= 5|x 2|= 5x 2 = +5x 2 = 5x= 7x= 3 The equation has two solutions: 7 and 3. CHECK Substitute both values into the original equation.
6.4 Solving Absolute-Value Equations and Inequalities 353 Solve absolute-value equations. Solve absolute-value inequalities. To solve real-life problems such as finding the wavelengths of different colors of fireworks in Exs. 65–68. Why you should learn it GOAL 2 GOAL 1 What you should learn 6.4 R E A L L I F E Solving Absolute-Value ...
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