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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