If X, then Y | Sufficiency and necessity (article) - Khan Academy

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A necessary condition is required for something else to happen, but it does not guarantee that the something else happens. What are some signal words for ... Ifyou'reseeingthismessage,itmeanswe'rehavingtroubleloadingexternalresourcesonourwebsite. Ifyou'rebehindawebfilter,pleasemakesurethatthedomains*.kastatic.organd*.kasandbox.orgareunblocked. CoursesMath:Pre-K-8thgradePre-Kthroughgrade2(KhanKids)Earlymathreview2ndgrade3rdgrade4thgrade5thgrade6thgrade7thgrade8thgradeSeePre-K-8thgradeMathMath:GetreadycoursesGetreadyfor3rdgradeGetreadyfor4thgradeGetreadyfor5thgradeGetreadyfor6thgradeGetreadyfor7thgradeGetreadyfor8thgradeGetreadyforAlgebra1GetreadyforGeometryGetreadyforAlgebra2GetreadyforPrecalculusGetreadyforAP®CalculusGetreadyforAP®StatisticsMath:highschool&collegeAlgebra1GeometryAlgebra2TrigonometryPrecalculusHighschoolstatisticsStatistics&probabilityCollegealgebraNEWAP®︎/CollegeCalculusABAP®︎/CollegeCalculusBCAP®︎/CollegeStatisticsMultivariablecalculusDifferentialequationsLinearalgebraSeeallMathTestprepSATLSATPraxisCoreMCATScienceMiddleschoolbiology-NGSSNEWMiddleschoolEarthandspacescience-NGSSNEWMiddleschoolphysics-NGSSNEWHighschoolbiologyHighschoolbiology-NGSSHighschoolphysicsHighschoolphysics-NGSSAP®︎/CollegeBiologyAP®︎/CollegeChemistryAP®︎/CollegeEnvironmentalScienceAP®︎/CollegePhysics1SeeallScienceComputingComputerprogrammingAP®︎/CollegeComputerSciencePrinciplesSeeallComputingArts&humanitiesUShistoryAP®︎/CollegeUSHistoryUSgovernmentandcivicsAP®︎/CollegeUSGovernment&PoliticsWorldHistoryProject-OriginstothePresentWorldHistoryProject-1750tothePresentArthistoryAP®︎/CollegeArtHistorySeeallArts&HumanitiesEconomicsMacroeconomicsAP®︎/CollegeMacroeconomicsMicroeconomicsAP®︎/CollegeMicroeconomicsSeeallEconomicsReading&languageartsUpto2ndgrade(KhanKids)2ndgrade3rdgrade4thgrade5thgrade6thgrade7thgrade8thgrade9thgradeGrammarSeeallReading&LanguageArtsLifeskillsSocial&emotionallearning(KhanKids)CareersPersonalfinanceGrowthmindsetInternetsafetyNEWSeeallLifeSkillsSearchDonateLoginSignupSearchforcourses,skills,andvideosMaincontentLogictoolboxConditionalreasoningandlogicalequivalenceIfX,thenY|SufficiencyandnecessityThisisthecurrentlyselecteditem.TheLogicof"If"vs."Onlyif"AquickguidetoconditionallogicTestprep·LSAT·Lessons·LogictoolboxIfX,thenY|Sufficiencyand necessityGoogleClassroomFacebookTwitterEmailLogictoolboxConditionalreasoningandlogicalequivalenceIfX,thenY|SufficiencyandnecessityThisisthecurrentlyselecteditem.TheLogicof"If"vs."Onlyif"AquickguidetoconditionallogicSortby:TopVotedConditionalreasoningandlogicalequivalenceTheLogicof"If"vs."Onlyif"UpNextTheLogicof"If"vs."Onlyif"

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