Math 301 Exam 1 (Module 1) Questions and Answers 2026.

Math 301 Exam 1 (Module 1)
Questions and Answers 2026
(ABandBBBareBsets)



WhatBisBAB∪BB?B-
BAnswerBTheBunionBofBABandBB.BSetBofBelementsBthatBareBinBABORBBB(orBboth)



(ABandBBBareBsets)



WhatBisBAB∩BB?B-
BAnswerBTheBintersectionBofBABandBB.BABsetBofBelementsBthatBareBinBbothBABANDB
B.



HowBcanByouBwriteBAB∪BBBinBsymbols?B-BAnswerB{x:BxB∈BABorBxB∈BB}



HowBcanByouBwriteBAB∩BBBinBsymbols?B-BAnswerB{x:BxB∈BABandBxB∈BB}



SupposeBAB=B{1,B2,B3}BandBBB=B{3,B4,B5},BwhatBis:



AB∪BB

and

AB∩BBB-BAnswerB{1,B2,B3,B4,B5}

and

{3}



A∪BB=BB∪AB

A∩B=B∩AB-BAnswerBcommutativeBproperty

, (AB∪BB)B∪BCB=AB∪B(BB∪BC)

and

(AB∩BB)B∩BCB=AB∩B(BB∩BC)B-BAnswerBassociativeBproperty



ABUBØB=B?B

AB∩BØB=B?B-BAnswerBABUBØB=BA

AB∩BØB=BØ



WhatBdoesB|A|Bmean?B-BAnswerBcardinalityBofBA



combinatorialBproofB-BAnswerBABproofBthatBmakesBuseBofBcountingBprinciples



ToBproveBanBequationBofBtheBformBLHSB=BRHS:



PoseBaBquestionBofBtheBform,B"InBhowBmanyBwaysB.B.B.B?"



OnBtheBoneBhand,BargueBwhyBLHSBisBaBcorrectBAnswerBtoBtheBquestion.B



OnBtheBotherBhand,BargueBwhyBRHSBisBaBcorrectBAnswer.



ThereforeBLHSB=BRHS.



WhenBareBABandBBBdisjoint?B-BAnswerBwhenBAB∩BBB=BØ



LetBABandBBBbeBfiniteBsets.BThenB



|A|B+B|B|B=B?B-BAnswerB|BABUBBB|B+B|BAB∩BBB|