PracExam1P1 - Math lilEt[Summer Session Koube Fraction Exam...

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Unformatted text preview: Math lilEt [Summer Session}: Koube. Fraction Exam 1 1.} [3 pts- etch] lmwrite eeeli ol‘ the following sentencesL in English and in conditional (if then ...} form. Do NOT write in symbolic form. - a.) l 1.srill go shopping Dfllj' if you go shopping. is.) Eating too mesh is neeessnrjr for getting sick. e.) Iwill go to the movie or I will not go to the purl-r. 2.) [2 puts. each} Determine ifth of the following state-mania is true {'1‘} or false {F}. No explanation is necessary. e.) The empty set 9} is s. subset of every set A. s} sumac} = (seems: for elleets 31.3, and o. It] {El} E "PL-'1] : the power set of .311, for mgr set A. d.}:1UB=JlrlB .for s1] setsfl and B. e] The power set for {{U}. [1, {E}}} has 5 elements. 3.] {4 pts.) 1ii'ii'rite the given sentence in symbolic form using quentifiers and logical eon- neetitres. Assume that the universe is 14.11 snimsls. All rows est smiles whenever some est-s weteh TV. 4.]: ['F pts.} Use a truth table to show the equivalence of? 2:- Q and PM}: Q} 2‘;- Rnfw R] 5.} {2 pts.eeeh:l Let A 2 [[31 .1] end B = {31 T) . Determine each of the following sets. 3.] A u e sjsne e} A — B 5.} {3 pts.) Prm'e the feliowing statement. H s: is a. nonzero I: E ii fl } rational number surf], y is irrational” then may if". irratiuual. T.) {s pie.) Let AB. and {3‘ he sets. Prove that A — [EPIC] = [A — B] U (s— G}. 8.} [8 pts. sash} Prove or disprove each of the lflllflwlflg. e.) If rsn is odd, then H. is odd. b.) If 51,5, and [.3 are sets with [I 1; AUB, then G E A or [1‘ E B . It. EL} {4 rate. each] Let C“ = [—111.- .. tin Ln + 1 ' 2n + l of the following. 9..) m G... HEN to L} s... HEN for n E N be e Family of sets. Determine sash ...
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