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春七年级数学下册2015《一元一次不等式》
7.2课件(新版)沪科版2一元一次不等式的定义、解集表示方法和应用场景不等式的解法一次函数图象法和符号法注意事项转化规则和解答中的注意事项练习题例题、例题、例题、习题课堂总结123What isa One-Variable LinearInequalityA one-variable linearinequality isa mathematicalexpression thatcompares twoquantitieswith differentvalues todetermine theirrelationship.It isrepresented bysymbols such as,,≤,or≥.Definition SymbolsRelationshipsA one-variable linearCommon symbolsused inAone-variable linearinequalitycompares twoone-variable linearinequality determinesthequantities usingsymbols likeinequalities include,,≤,relationship betweentwo,,≤,or≥.or≥.quantities withdifferentvalues.Methods ofSolving One-VariableLinear Inequalities1Graphical Method2Symbolic MethodThegraphical method involves plottingThe symbolicmethodinvolvesusingthe inequalityon acoordinate planealgebraic manipulationsand logictoand determining the solutionregion.solve theinequality symbolically.Key Considerationsin SolvingOne-Variable LinearInequalities1Conversion RulesThereare specificrules forconverting inequalities,such asmultiplying ordividingboth sidesby anegative number.2Additional NotesWhensolving inequalities,its importantto payattention tospecial casesandpossible restrictions.Applications ofOne-VariableLinear InequalitiesFinanceInequalitiesare usedin financialcalculations,suchasdeterminingthebreakevenpoint oranalyzing investmentoptions.Real-Life SituationsInequalitiesare commonlyused tomodel andsolve real-life problems,such asoptimizingproduction orplanning routes.Resource AllocationInequalitieshelp inallocating resourcesefficiently andeffectively,such asdeterminingthe optimaldistribution ofgoods.Practice ProblemsExample1Example2Example3Solve theinequality andSimplify theinequality andDetermine the solution setgraphthesolutionon adetermine therange ofof theinequality andnumberline.values thatsatisfy theinterpret itin thecontextinequality.of thegiven problem.SummaryDefinition SolutionMethods ApplicationsAone-variable linearOne-variable linearInequalities havenumerousinequality comparestwo inequalitiescan besolved applicationsin finance,quantities usingsymbols usinggraphical andreal-life situations,andlike,,≤,or≥.symbolic methods.resource allocation.。