2.5SolvingCompoundInequalitiesDoNow:Solveandgraphtheinequality. −5 > $%&'

%( Criticalthinking:Inchemistrywaterisconsideredachemicalcompound.Why?Whatdoyouthinkacompoundinequalityis?___________________

AND OR Graph:) ≥ −2-./) < 5 Graph) ≥ 512) < −2

Example1:Writingacompoundinequality

a) Anumberwisgreaterthan-8andlessthanorequalto4.

b) Anumberhisatmost0oratleast2.Example2:SolvingcompoundInequalitieswith“AND”Solveeachinequalitythengraphthesolution.

a) −4 < ) − 2 ≤ 3 b)−3 < −2) − 1 < 9

Tryonyourown:Solveandgraphtheinequality

1) −3 < 28 − 5 ≤ 7Example3:SolvingaCompoundInequalitywith“OR”Solveeachinequalitythengraphthesolution.

a) 3: − 5 < −8122: − 1 ≥ 5Tryonyourown:Solveandgraphtheinequality

1) 2< + 1 ≤ −7123 − 2< < −1CriticalThinking:Comparethefollowinginequalities

A) ) ≥ 512) ≤ −2 C)) ≥ 512) > −2

B) ) ≥ 5-./) ≤ −2 D)) ≥ 5-./) > −2

Example4:Modelingwithmathematics.InorderforaniPhonetofunctioncorrectlyitmusthaveacoretemperaturebetween0oCand35oC.Writeacompoundinequalitythatrepresentsthepossibleoperatingtemperatures(indegreesFahrenheit)ofthesmartphone.Tryonyourown:Apairofsnowbootshasatemperatureratingbetween-40oFto59oF.Writeandsolveacompoundinequalitythatrepresentsthetemperaturerating(indegreesCelsius)ofthepairofwinterboots.Homework:3-6,9,10,12,14*,15,19,20,24,27,29,33*,36