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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