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# MU MATH 100 - Study Guide

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MATH100--PracticeTest1MillersvilleUniversityRonUmble,Instr.Name___________________________________INSTRUCTIONS:Turnoffandstowallcellphonesandpagers.Calculatorsmaybeused,butcellphonemaynotbeusedascalculators.MULTIPLECHOICE.Choosetheonealternativethatbestcompletesthestatementoranswersthequestion.Listtheelementsintheset.1) {x|xisanintegerbetween-2and2}A) {-1,0,1,2} B) {-2,-1,0,1,2} C) {-2,-1,0,1} D) {-1,0,1}1)Completetheblankwitheither∈or∉tomakethestatementtrue.2) 2{11,10,9,8}A)∈B)∉2)Writethesetinset-buildernotation.3) {2,4,6,8}A) {x|xisanevennaturalnumber}B) {x|xisanevennaturalnumberlessthan10}C) {x|xisanevenintegerlessthan10}D) {x|xisanevenwholenumberlessthan10}3)Findn(A)fortheset.4) A={x|xisamonthintheyear}A) n(A)=12 B) n(A)=52 C) n(A)=1 D) n(A)=244)5) A=12,13,14,15,...,129,130A) n(A)=31 B) n(A)=29 C) n(A)=Infinite D) n(A)=305)Decidewhether⊆,⊂,both,orneithercanbeplacedintheblanktomakeatruestatement.6) {11,12,13}{10,11,12,13}A)⊂B) Neither C)⊆D) Both⊂and⊆6)Solvetheproblem.7) Listallpossiblesubsetsoftheset{m,n}.A) {m},{n},∅B) {m},{n}C) {m},{n},{m,n},∅D) {m},{n},{m,n}7)Findthenumberofsubsetsoftheset.8) {6,7,8}A) 6 B) 7 C) 8 D) 38)Findthenumberofpropersubsetsoftheset.9) {poetry,drama,speech,art,film}A) 31 B) 24 C) 16 D) 329)1LetU={1,2,4,5,a,b,c,d,e}.Findthecomplementoftheset.10) Q={2,4,b,d}A) {1,3,5,a,c,e} B) {1,5,a,c,e}C) {1,5,a,e} D) {1,2,4,5,a,b,c,d,e}10)Listtheelementsintheset.Let U={q,r,s,t,u,v,w,x,y,z}A={q,s,u,w,y}B={q,s,y,z}C={v,w,x,y,z}.11) (A∩B)ʹA) {q,s,t,u,v,w,x,y} B) {s,u,w}C) {r,t,u,v,w,x,z} D) {t,v,x}11)12) Cʹ∪AʹA) {q,r,s,t,u,v,x,z} B) {w,y}C) {s,t} D) {q,s,u,v,w,x,y,z}12)13) (Aʹ∪C)∩BʹA) {v,x} B) {r,t,v,w,x}C) {r,t,u,v,w,s,y,z} D) {y,z}13)FindtheCartesianproduct.14) A={12,9,10}B={14,4}FindA×B.A) {(12,14),(9,10),(10,14)}B) {(12,14),(9,4)}C) {(14,12),(14,9),(14,10),(4,12),(4,9),(4,10)}D) {(12,14),(12,4),(9,14),(9,4),(10,14),(10,4)}14)Findtheindicatedcardinalnumber.15) Findn(A×B)giventhatA={2}andB={1,3}.A) 2 B) 1 C) 4 D) 315)Determinewhetherthesetsareequal,equivalent,both,orneither.16) {72,40,27}and{40,27,72}A) Equivalent B) Equal C) Neither D) Both16)Showthatthesetisinfinitebyplacingitinaone-to-onecorrespondencewithapropersubsetofitself.Besuretoshowthepairingofthegeneraltermsinthesets.17) {5,6,7,8,...}A) { 5,6,7,8,..., n+4,...}↓↓↓↓ ↓{4,5,6,7,..., n+3, ...}B) { 5,6,7,8,..., n+4,...}↓↓↓↓ ↓{6,7,8,9,..., n+5, ...}C) { 5,6,7,8,..., n+4,...}↓↓↓↓ ↓{6,7,8,9,..., n+6, ...}D) { 5,6,7,8,..., n+5,...}↓↓↓↓ ↓{4,5,6,7,..., n+3, ...}17)2Findthecardinalnumberoftheset.18) {8,9,10,11,...}A) c B) 4 C)ℵ0D) 1118)19) {x|xisadecimalbetween63and64}A) 2ℵ0B) c C) 2 D)ℵ019)Forthegivensets,constructaVenndiagramandplacetheelementsintheproperregion.20) LetU={1,2,3,4,5,6,7,8}A={3,6,8}B={4,6}C={1,6,7,8}A) B)C) D)20)3Solvetheproblem.21) Alocaltelevisionstationsentoutquestionnairestodetermineifviewerswouldratherseeadocumentary,aninterviewshow,orrerunsofagameshow.Therewere 800responseswiththefollowingresults:240wereinterestedinaninterviewshowandadocumentary,butnotreruns.32wereinterestedinaninterviewshowandrerunsbutnotadocumentary.112wereinterestedinrerunsbutnotaninterviewshow.192wereinterestedinaninterviewshowbutnotadocumentary.80wereinterestedinadocumentaryandreruns.48wereinterestedinaninterviewshowandreruns.64wereinterestedinnoneofthethree.Howmanyareinterestedinexactlyonekindofshow?A) 384 B) 394 C) 364 D) 37421)Letprepresentthestatement,ʺJimplaysfootballʺ,andletqrepresentthestatementʺMichaelplaysbasketballʺ.Convertthecompoundstatementintosymbols.22)JimdoesnotplayfootballandMichaeldoesnotplaybasketball.A)~p∧qB)~p∧~qC)~(p∧q) D)~p∨~q22)Letprepresentatruestatement,whileqandrrepresentfalsestatements.Findthetruthvalueofthecompoundstatement.23)~p∨(q∧~r)A) False B) True23)Letprepresent7<8,qrepresent2<5<6,andrrepresent3<2.Decidewhetherthestatementistrueorfalse.24) (~p∧q)∨~rA) True B) False24)Writeanegationforthestatement.25) Someathletesaremusicians.A) Someathletesarenotmusicians. B) Noathleteisamusician.C) Notallathletesaremusicians. D)

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