# 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 2007 Keywords: ContrapositiveContradictionAnniversaryValid ArgumentRational NumberPropositionalFollowing StatementMathematics

## Sample Document Text

Math 2534 Test 1A Name______________________________ Do not write on this test paper. Show all work and Justify your answers in complete sentences when appropriate. NO ELECTRONIC DEIVIES of any kind. 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 contradi...

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