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Past Exam for MATH 2534 - Intro Discrete Math with McQuain at Virginia Tech (VT)

Exam Information

Material Type:Exam 1
Professor:McQuain
Class:MATH 2534 - Intro Discrete Math
Subject:Mathematics
University:Virginia Polytechnic Institute And State University
Term:Fall 2008
Keywords:
  • Contrapositive
  • Contradiction
  • Anniversary
  • Valid Argument
  • Solutions Math
  • Rational Number
  • Propositional
  • Following Statement
  • Mathematics
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Sample Document Text

Solutions: Math 2534 Test 1A Problem 1: Put each of the following into symbolic form and then determine if any of the statements are equivalent. a) Do not eat before swimming b) Do not eat only if you are swimming c) Not swimming indicates that you are eating. d) If you eat, then do not swim e) Do not swim or do not eat. Answer: (12pts) : Let E represent "to eat" and S represent "to Swim" ) ) ) ) ) aS EE S bESSE cSE dE S eSEESES ??? ?? ? ? ? ????? ?? ?? ? ? ???? ? a), d) and e) are equivalent using the contrapositive in a) and the definition of implication in e) b) and c) are equivalent by contrapositive. Problem 2: Given the statement: If he is ethical, then he is content a) Give the converse b) Give the contrapositive c) Give the contradiction Answers: (6pts): a) If he is content then he is ethical b) If he is not content then he is not ethical c) He is ethical, but not content. ...

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