@ Lesson(591(Solving(Inequalities(by(Addition(and(Subtraction( 78-12>65
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1 182 Page1 AlgebraIUnit2LinearRelationships Chapter5LinearInequalities Lesson591SolvingInequalitiesbyAdditionandSubtraction Objectives: Icansolvelinearequalitiesbyusingaddition Icansolvelinearinequalitiesbyusingsubtraction CCSS: ACED1,AREI3,MP2,MP4 Example1:SolvebyAdding Solvec 12>65Checkyoursolution C > 77 GuidedPractice1:SolvebyAdding 7812>65 66 > 65 SolveeachinequalityCheckyoursolution a 22>m 8 + s Check b d 14 L Check die l9
2 ,<o Page2 StandardizedTestExample2:SolvebySubtracting Solvetheinequalityx+23<14 A%%{x x < 9} B{x x < 37} C{x x > 9} D{x x > 39} GuidedPractice2:SolvebySubtracting Solvep+8 18 s 3 23 stg xc 9 F%%{p p 10} G{p p 10} H{p p 26} J{p p 126} 10+23<14 132<14 Example3:VariablesonEachSide Solve12nL4 13nThengraphthesolutionsetonanumberline 12h 12N YEE tgl#i # GuidedPractice3:VariablesonEachSide SolveeachinequalityThengraphthesolutionsetonanumberline, a 9n 1<10n an an b 5h 12+4h 4h 4h HER icn o 4 07 for LIS^ 13
3 Page3 Real9WorldExample4:UseanInequalitytoSolveaProblem PamwantstobuyseasonpassestotwothemeparksIfoneseasonpasscosts$5499andPamhas$100 tospendonbothpasses,thesecondseasonpassmustcostnomorethanwhatamount? 100> ,012 X GuidedPractice4:UseanInequalitytoSolveaProblem $4501 Samhas$65tospendatthemallHeboughtaTLshirtfor$18andabeltfor$14IfSamwantsapairof jeans,howmuchcanhespend? > Lesson592SolvingInequalitiesbyMultiplicationandDivision 33 >_ X Objectives: Icansolvelinearinequalitiesbyusingmultiplication Icansolvelinearinequalitiesbyusingdivision CCSS: ACED1,AREI3,MP1,MP6
4 Page4 Real9WorldExample1:WriteandSolveanInequalityUPSCheck) Mattwalksatarateof¾mileperhourHeknowsthatitisatleast9milestoOnyxLakeHowlongwillit takematttogetthere?writeandsolveaninequalitytofindthetime R 9<30 D= RT MountKinabalueinMalaysiahasthegreatestconcentrationofwildorchidsonEarthItcontainsmore than750species,oraboutonefourthofallorchidspeciesinmalaysiahowmanyorchidspeciesare thereinmalaysia? cheek 9<3*40 ) q4i3q 363<35 9<3403 it < ytm 3000 < M
5 5 Page5 Example2:SolvebyMultiplying 5 Solve 3 5 d 6Graphthesolutiononanumberline 31>30 check =3 =3 d*i0 3g 0>6 o# Nol GuidedPractice2:SolvebyMultiplying D= e 10 4TH SolveeachinequalityGraphthesolutiononanumberline a n 6 8 b r8 3 8 t < 5 ' U 6 nz 48 => is > t< 131/3 th 3t< Example3:DividetoSolveanInequality SolveeachinequalityGraphthesolutiononanumberline a 12k 60 kz5 a a 4 TH
6 Hk ' Page6 b L8q<136 I I GuidedPractice3:DividetoSolveanInequality SolveeachinequalityGraphthesolutiononanumberline a L42 6r q > 17 tis#hqq7zrhyte o b L12h>15 a 72 " tinfo Lesson593SolvingMulti9StepInequalities Objectives: Icansolvelinearinequalitiesinvolvingmorethanoneoperation IcansolvelinearinequalitiesinvolvingtheDistributiveProperty CCSS: ACED1,AREI3,MP7 Real9WorldExample1:SolveaMulti9StepInequality Adrianahasabudgetof$115forfaxesThefaxservicesheusescharges$25toactivateanaccountand $008perpagetosendfaxesHowmanypagescanAdrianafaxandstaywithinherbudget? GuidedPractice1:SolveaMulti9StepInequality ThePrintShopadvertisesaspecialtoprint400flyersforlessthanthecompetitionThepriceincludesa $350setLupfeeIfthecompetitioncharges$3550,whatdoesthePrintShopchargeforeachflyer? Example2:InequalityInvolvingaNegativeCoefficient Solve13 11d 79Graphthesolutiononanumberline p 1 O8p pe s 25 Toy Is ,50 > p 32>40/ Too 66 DE 6 =, Ii 7 GuidedPractice2:InequalityInvolvingaNegativeCoefficient SolveeachinequalityGraphthesolutiononanumberline k PE 1125 p< 108 a w W a a 6,51W > LIFT
7 28L IK 8< 4k Page7 b 43>L4y > If It 11 4y y a 1 as Example3:WriteandSolveanInequality Defineavariable,writeaninequality,andsolvetheproblemThencheckyoursolutionFour%times%a% number%plus%twelve%is%less%than%the%number%minus%three% io/4x+1zcxz 3 1,3<72 B 3X< GuidedPractice3:WriteandSolveandInequality 5 3 Defineavariable,writeaninequality,andsolvetheproblemThencheckyoursolutionTwo%more%than% half%of%a%number%is%greater%than%twenty=seven% Example4:DistributiveProperty Solve6c+32 c) L2c+1Graphthesolutiononanumberline GuidedPractice4:DistributiveProperty SolveeachinequalityGraphthesolutiononanumberline a 65z 3) 36z 3Oz n 60+63=2 b 2h+6)>L38 h) 2h 2h Example5:EmptySetandAllReals SolveeachinequalityCheckyoursolution a L7k+4)+11k 8k 22k+1) n It 'zx > It Zctl texszst > < 5 cz *6>92%+1 5C 25 gte 30218<362 mm n 112> To 13W 12>24 the 2h k >_ 8k n F 18<62 6 F 3 EZ h< jo# k O No he 4k solution 4k 282 4k 2 z at to
8 24C Page8 x b 24r+3) 22+8r 2) m 1 ' R 8r +6<22 + 8r 16 8rt6 E 8r +6 6<6 GuidedPractice5:EmptySetandAllReals SolveeachinequalityCheckyoursolution a 18 38c+4) L64c 1) 18 24C C C 16 b 46 8m 42m+5) +6 #, < m 46=20 8m 20 Lesson594SolvingCompoundInequalities No solution z 4TH Objectives: Icansolvecompoundinequalitiescontainingthewordand,andgraphtheirsolutionset Icansolvecompoundinequalitiescontainingthewordor,andgraphtheirsolutionset CCSS: ACED1,AREI3,MP1,MP8 Example1:SolveandGraphanIntersection Solve7<z+2 11Thengraphthesolutionset GuidedPractice1:SolveandGraphanIntersection SolveeachcompoundinequalityThengraphthesolutionset z =9 tfm a y 3 L11andy 3 L8 ye aia;, tfm# I b 6 r+7<10 z 7 7 ±r< 3 art tmy
9 Page9 Real9WorldExample2:WriteandGraphaCompoundInequality AskiresorthasseveraltypesofhotelroomsandcabinsThehotelroomscostatmost$89pernight,and thecabinscostatleast$109pernightwriteandgraphacompoundinequalitythatdescribesthe amountaguestwouldpaypernightattheresort GuidedPractice2:WriteandGraphaCompoundInequality Acompanyismanufacturinganactionfigurethatmustbeatleast112centimetersandatmost114 centimeterstallwriteandgraphacompoundinequalitythatdescribeshowtalltheactionfigurecanbe 892C OR 109 EC, Example3:SolveandGraphaUnion hit Solve4k 7 25or12 9k 30Thengraphthesolutionset k 8 or n z GuidedPractice3:SolveandGraphaUnion on > lz 4k 32 9k >_ 18 II ZEX AND 11,42 z 0 SolveeachcompoundinequalityThengraphthesolutionset It <i {= 11,4 ' : its ;if p a a%+1<4ora 1 3 too 9<3 or a > 4 fat b x 9or2+4x<10 X±9 or 4x< < 8 2 a o o o THfbtla 'I
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