Absolute Value Equations and InequalitiesAbsolute Value FunctionSlide 3Slide 4Absolute Value EquationAbsolute Value InequalitiesSlide 7Try It Out!ApplicationAssignmentAbsolute Value Equations and InequalitiesLesson 2.52Absolute Value FunctionWhatever you put into the functioncomes out positive-3+3+7+73Absolute Value FunctionDefinition00)(xifxxifxxabsxUse the abs( ) function on your calculatorUse the abs( ) function on your calculator4Absolute Value FunctionNote the graph of y = | x |Table of valuesAbsolute Value EquationLet k be a positive numberThen means …So we just solve two equationsTry itSolve analyticallySolve graphically a x b k�+ = or a x b k a x b k�+ = �+ =-3 5 35x - =6Absolute Value Inequalities|a x + b | < k is equivalent to- k < a x + b < k - k < a x + b and a x + b < k3 5 7x + <77Absolute Value Inequalities|a x + b | > k is equivalent toa x + b < -k or a x + b > k3 5 7x + >7))8Try It Out!|15 – x | < 7Solve symbolically |5x – 7 | > 2Show graphical solutionApplicationLou Scannon, the human cannon ball plans to travel 180 feet and land squarely on a net with a 70 foot long safe zone.What distances D can Lou travel and still land safely on the net?Use an absolute value inequality to describe the restrictions on D910AssignmentLesson 2.5Page 154Exercises 1 – 53 EOO 73, 75,