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Unformatted text preview: in some cases. (a) 3  (b) 0 N (c) For any real number x , x < x . (d) 3 is prime. (e) 13  26 5. (3 points) State the contrapositive of the following statement, using logical equivalences to put it into a form where each not is on an individual (noncomplex) proposition. Show your work. If John is a muggle and Ellen is a Wizard, then the crystal is not blue. 6. (3 points) Complete the following denition, using precise mathematical English and/or notation. Your denition must not use the mod, remainder, or similar operators. If x and y are integers, x  y if and only if . . . 2...
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This note was uploaded on 11/09/2011 for the course CS 173 taught by Professor Erickson during the Spring '08 term at University of Illinois, Urbana Champaign.
 Spring '08
 Erickson

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