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2.6 Notes Alg1.notebook October 09, 2012 Skills we've learned Skills we need 5. 2(–6r – 5) < –3(4r + 2) 4. 2y – 2 ≥ 2(y + 7) 3. 4b + 4(1 – b)> b –9 2. 5x –9 ≤ 4.1x – 81 1. t <5t + 24 Solve each inequality and graph the solutions. 1. x+ 3 ≤ 10 23 < –2x +3 2. 3. 4x + 1 ≤ 25 4. 0≥3x +3 26 Solving Compound Inequalities Warmup Answers

26 Solving Compound Inequalities - Bainbridge High …€¦ · 26 Solving Compound Inequalities Warmup Answers. ... 26 Solving Compound Inequalities ... Solve and graph 2x 5 < 3 (x

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  • 2.6NotesAlg1.notebook October09,2012

    Skillswe'velearned

    Skillsweneed

    5.2(6r5)b92.5x94.1x811.t

  • 2.6NotesAlg1.notebook October09,2012

    26SolvingCompoundInequalities

    Solvecompoundinequalitieswithone variable.Graphsolutionsetsofcompoundinequalities

    withonevariable.

    AlifeguardcanusecompoundinequalitiestodescribethesafepHlevelsinaswimmingpool.

    I.Vocabulary

    Theinequalitiesyouhaveseensofararesimple inequalities.WhentwosimpleinequalitiesarecombinedintoonestatementbythewordsANDorOR,theresultiscalledacompoundinequality .

    CompoundInequality

  • 2.6NotesAlg1.notebook October09,2012

    1.Thefreechlorineinapoolshouldbebetween1.0and3.0partspermillioninclusive.Writeacompoundinequalitytoshowthelevelsthatarewithinthisrange.Graphthesolutions.

    Letcbethechlorinelevelofthepool.

    II.WritingCompoundInequalities

    2.ThepHlevelofapopularshampooisbetween6.0and6.5inclusive.WriteacompoundinequalitytoshowthepHlevelsofthisshampoo.Graphthesolutions.

  • 2.6NotesAlg1.notebook October09,2012

    And? Or?x0 x>10orx

  • 2.6NotesAlg1.notebook October09,2012

    IV.TheCompoundInequality"Or"

    4.Solvethecompoundinequalityandgraphthesolutions.

    8+a>7OR8+a

  • 2.6NotesAlg1.notebook October09,2012

    V.WritingaCompoundInequalityfromaGraph

    5.Writethecompoundinequalityshownbythegraph.

    a.

    b.

    VI.TriangleInequality

    1

    23

    Doesthistriangleexist?

    2

    15

    ?

  • 2.6NotesAlg1.notebook October09,2012

    IndividualQuizonThursday!5questionslike"solveandgraph2x+4


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