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Unformatted text preview: RYERSON UNIVERSITY DEPARTMENT OF MATHEMATICS MTH 314 Final Exam April 25, 2007 Total marks: 80 Time allowed: 3 Hours NAME (Print): STUDENT #: Instructions: You are allowed an 8 1 2 11 formula sheet written on both sides. No other aids allowed. Electronic devices such as calculators, cellphones, pagers, MP3 players, etc, must be turned off and kept inaccessible during the test. Verify that your paper contains 9 questions on 10 pages. In every question show all your work. The correct answer alone may be worth nothing. If you need more space continue on the back of the page, directing marker where the answer continues with a bold sign. Your student number: Page 2 1. Answer the following questions True or False. Circle your answer. (No marks will be deducted for incorrect answers.) P ( A ) denotes the power set of A . 14 Mk (a) The set of all irrational numbers R Q , i.e. the set of all real numbers which cannot be expressed as quotients of integers, is countable. T F (b) For every set A...
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