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# Finite Mathematics MGF 1106

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This 5 page Class Notes was uploaded by Ella Simonis on Wednesday September 23, 2015. The Class Notes belongs to MGF 1106 at University of South Florida taught by Staff in Fall. Since its upload, it has received 21 views. For similar materials see /class/212662/mgf-1106-university-of-south-florida in Mathmatics at University of South Florida.

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Date Created: 09/23/15

MGF 1106 Final Exam Review sections Time of Common Final Exam Place of Common Final Exam Sections only Those students with a final exam conflict with another highernumbered course please contact your instructor Make sure to get early to the final exam No final exam make ups Will be given Please bring a photo ID to the nal mam Calculators Calculators no cellphones may be used an the nal exam but they CANNOT be shared Content The Final Exam consists of 55 multiplechoice questions Here is a chapterbychapter breakdown of the content of those 55 questions and also some suggested review problems You should be familiar with the terms listed under vocabulary Chapter 2 We will select 8 questions similar to the ones below Concepts empty set universal set subset intersection union complement Venn diagram 1 Write the set xix is a counting number less than 8 using the listing roster method 21 27 2 How many subsets does the set A 51 b c d have 21 57 Let U 51 b c d efAa c e Bb d ef and Ca b if Find each speci ed set 3 a AnBUC b CUA nB 2219 4 Let U 1 2 3 4 5A 2 3 4 and 1 4 5 2228 Find aA B bB A Draw a Venn diagram and shade the region in the gure representing each speci ed set 5 AUB A B 235 n 4 I 6 A 0339 6 23 7 7 Use the numbered regions ofthe diagram to identify the set c m A UB 23 10 cquot 1 a I 2 so 8 8 Draw aVenn diagram that satis es the equation A m3 B 23 29 9 Given A B abA B c2A B gh and A UB df use a Venn diagram to find the following 23 37 aABandU bAUB c A B 10 Suppose that rtA15 nA m3 5 and nA UB 30 Find nB 24 3 11 quot L L39 39 39 39 or people in L t quot 39 24 10 Dimmmeun 1A lC 0 ISK 551 mi Purchming P l 14 7 o n o Quillily 011141th 1 7 i 21 53 ll SalcslS E 8 4D 0 0 0 Manllfi39lculring 1M 5 7 0 9 23 37 Jnnlinn al Ill 1 n D 6 8 ll n41 ldlnhlh mlrn v tL i rlencul ll7 mlw 1th Allied my M mhkmm iUi unskilk d a A NS 391 S U P cM A39 SK39 ILS A39 C39 12 In a sulvey conducted in a certain US city the data in the following table were collected 24 14 White Black Dlller 0 I Im om l W 1B l DverSlD JU H 50 15 IO 370004511000 M7 40 15 15 Under 157000 LLI 30 35 2G Find the number ofpeople in the following sets suM bM c OUB W dLUO eH B39 13 below End the followlng a We h hm c hams 14 on checklng wrth 100 rnyestors to see who owned electxl eompany stoek an 24 21 transportatron stoek 27 or munlclpal bonds M the numbers shown m the dlagram below were found 24 25 41 a hmquot tb tm h trnpnttut c How many had one or two ofthese types oflnvestments but not all three7 d Howmany had atleast two ofthese types ofrnyestments7 e How many had none of these types ofrnyestments7 Chapter 3 We wlll seleet 9 questrons slmllar to the ones below Cuneepts negauon eomuneuon dlsjunchon condlnonal eontraposrtrye lnverse eonyerse blcondmonal De Morgan39s laws truth table equryalent statements symbohe logo premlseconcluslon valldlnvalld argument 15 Let p be RmkylovesLucy and q be LucylovesRlckyquot lee ayerbal translatron of the statement pn q 31 24 16 lee the negatron ofthe statement Some basketball players are not 6ft tall 31 37 17 lee the negatron ofthe statement Ertherhe ls bald orhe has a loan forehead 31 39 18 Let g be Hels agentlemanquot andlet s be He ls aseholarquot Wnte ths statement m symbohe form He ls agentleman and a seholar 32 9 19 Consider the statements p and q 32 11 p It is raining q I will go to the beach Write the statements in parts a and b in symbolic form a It is raining but I will go to the beach b It is raining or I will go to the beach c Assume that p is true and q is false Find the truth values of the statements given in parts a and b 20 Consider the following statements 32 23 g I go to college j I join the army Suppose that g is false and j is true Write a statement in symbolic form and find its truth value of the statement I go to college or I do not join the army 21 Construct atruth table for the statement N pv N q 32 31 22 Use a truth table to show that the two given statements are equivalent pvq andpAq 3245 23 Construct atruth table for p gt q lt gt p v r Note the importance of the parentheses to indicate the order in which items are grouped 33 15 24 Construct atruth table for p gt q A r 33 17 25 Let p be I will buy it and let q be It is a poodle Translate If it is a poodle then I will not buy it into symbolic form 33 25 26 Which of the following statements is logically equivalent to If Mary is in Tampa then she is in Florida 33 55 a Mary is in Florida or she is in Tampa b If Mary is not in Tampa then she is not in Florida c If Mary is in Florida then she is in Tampa d If Mary is not in Florida then she is not in Tampa 27 Let h be honk and u be you love Ultimate Write A necessary condition for loving Ultimate is to honk in symbolic form 34 19

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