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6.1 graphing linear inequalities in 2 variables

G
Gary Ball

This document discusses linear inequalities and their applications. It defines linear inequalities and introduces using them to represent real world scenarios involving constraints. An example is provided where a nursery sold maple and birch trees for different prices, with the total being over $1500. Linear inequalities are written and graphed to represent the possible combinations of trees sold based on this information. The graph is then used to determine if specific quantities of each type of tree could have been sold.

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6.1Ìý­ÌýLinearÌýInequalities.notebook JanuaryÌý10,Ìý2013 1
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6.1Ìý­ÌýLinearÌýInequalities.notebook JanuaryÌý10,Ìý2013 6
6.1Ìý­ÌýLinearÌýInequalities.notebook JanuaryÌý10,Ìý2013 7
6.1Ìý­ÌýLinearÌýInequalities.notebook JanuaryÌý10,Ìý2013 it 8
6.1Ìý­ÌýLinearÌýInequalities.notebook JanuaryÌý10,Ìý2013 Ex.ÌýÌýOnÌýEarthÌýDay,ÌýaÌýnurseryÌýsoldÌýmoreÌýthanÌý$1500ÌýworthÌýofÌýmapleÌý andÌýbirchÌýtrees.ÌýÌýTheÌýmapleÌýtreesÌýwereÌýsoldÌýforÌý$75ÌýandÌýtheÌýbirchÌý treesÌýwereÌýsoldÌýforÌý$50. a)ÌýÌýWriteÌýaÌýlinearÌýinequalityÌýtoÌýrepresentÌýtheÌýpossibleÌýcombinationsÌýofÌý treesÌýsold.ÌýÌýAreÌýthereÌýanyÌýrestrictions? b)ÌýÌýGraphÌýtheÌýinequality. c)ÌýUseÌýtheÌýgraphÌýtoÌýdetermine: i)ÌýCouldÌýtheÌýnurseryÌýhaveÌýsoldÌý13ÌýofÌýeachÌýtypeÌýofÌýtree? ii)ÌýIfÌý14ÌýofÌýoneÌýtypeÌýandÌý9ÌýofÌýtheÌýotherÌýtypeÌýcouldÌýhaveÌýbeenÌýsold. 9
6.1Ìý­ÌýLinearÌýInequalities.notebook JanuaryÌý10,Ìý2013 10
6.1Ìý­ÌýLinearÌýInequalities.notebook JanuaryÌý10,Ìý2013 11

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6.1 graphing linear inequalities in 2 variables

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