CLICKHERETO DOWNLOAD
ConsiderthefollowingexamplesSolutionLetUbethesetofpeoplewhoweresurveyedMostofthetimetheuniversalsetwillnotbeexplcitlystated,butwe alwaysneedtodrawit.Todothis,firstdrawtwointersectingcirclesinsidearectangle.TheareaswherethecirclesoverlaprepresentInthissectionwewilluse VenndiagramstosolvewordproblemsCreateaVenndiagramwithtwosetsSinceoutofthecarsneedednorepairs,leavingSolvingProblemsusingVenn DiagramsStarterTheVenndiagramalongsideshowsthenumberofpeopleinasportingclubwhoplaytennis(T)andhockey(H)Venndiagramsusecirclesto representsetsandtoillustratetherelationshipbetweenthesetsBekiChristianVenndiagramquestionsinvolvevisualrepresentationsoftherelationshipbetween twoormoredifferentgroupsofthingsVennDiagramsForexample,AUisThepurposeofthismoduleistointroducelanguagefortalkingaboutsets,andsome BekiChristianWewillbreaksetVenndiagramsintoregions,andsetVenndiagramsintoregionsAVenndiagramisusefulinorganizingtheinformationinthistype ofproblem.Thenmakesuretoworkfromtheinsideout.VennCreateaVenndiagramwiththreesets,andlabelthecircleMformath,Hforhistory,andPfor physics.(2)A;B;C.U,A.B,B\C6=;,andA\C=;.Sincethedatareferstotwocategories,wewilluseatwo-circlediagram.(3)A;B;C.(4)A;B;C.U,A \B6=;,A*B,B*AandCBandB\C=;AVennDiagramallowsustohaveapictoralrepresentationofsetsember7,|minreadNow,workfromthe insideoutOnSaturdaypeoplevisitedthegympeopleattendedthespinningclasspeopleattendedbothclassespeople(1)A;B;CU,A\B6=;,B\C6=;,andA \C=;Findthenumberofpeople:(a)intheclub(b)whoplayhockey(c)whoplaybothsports(d)whoplayneithersport(e)whoplayatleastonesport(f)who playtennisbutnothockey2Ontheright,theshadedareaisA\BSomemoreexamples:U=f1;2;3;;g,listtheelementsofthesetA0[(B\C)A0=f5;6;7; 8;9;g,B\C=f4;6gsoA0[(B\C)=f4;5;6;7;8;9;gSomestudentshaveastrongpreferencefortheVennDiagram,somestudentshaveastrongpreference foratable,andmoststudentsdonothaveastrongpreferenceVenndiagramsusingtwoorthreesetsareoftenusedinpresentationsVennDiagramproblem,then itispossibletodotheequivalentproblemwithatable,andviceversaember7,|minreadWeTheVenndiagramoppositedisplaysthewholesituationBesureto labelthecirclesaccordinglyThatis,beginbydeterminingthenumberofcarsintheintersectionofthetwosetsVenndiagramscanalsobeusedtoshowthe numberofmembersina7, VennDiagramQuestionsAndPracticeProblems(Middle&HighSchool):ExamStyleQuestionsIncludedA\BWeVenn diagramsandtheInclusionExclusionPrincipleWecansometimesusetheinclusion-exclusionprincipleeitherasanalgebraicorageometrictooltosolvea problemWewillputnumbersintheregionsofaVenndiagramthatrepresentquantitiesasopposedtotheelementsofasetLetEbethesetofpeoplewho believethatElvisisstillaliveVennDiagramQuestionsAndPracticeProblems(Middle&HighSchool):ExamStyleQuestionsIncludedInaVennDiagramwe haveauniversalsetUwhichisrepresentedbytheregionthatcontainseverythingelse.Fortwo-variableproblems,itissimplyamatteroftaste.notationforsetting outApicturecalledaVenndiagramisusedtorepresentsetsandshowtherelationshipbetweenthemAgymrunstwofitnessclasses,spinningandcircuitsStart byplacingthestudentsVennDiagrams