MATH 122 Final: MATH 122 UVic 200909M122Final

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31 Jan 2019
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Instructor and section (check one): (cid:3) p. dukes. [a01] crn 14241 (cid:3) g. macgillivray [a02] crn 14242. Answers should be written on the exam paper. The exam consists of 26 questions, for a total of 70 marks. Please show all of your work and justify your answers when appropriate. There are 11 pages (numbered), not including covers. Students must count the number of pages before beginning and report any discrepancy immediately to the invigilator. [2] suppose the statement p q is false. No justi cation is needed: q p, p q, (p q, (p q) If the argument below is valid, then prove it, citing logical equivalences and inference. Otherwise, give a counterexample to show that the argument is invalid. p q r q p. There exists an integer n which is larger than all other integers. (a) [2] write it using quanti ers and other mathematical symbols. (b)