# 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: -- Keywords: ContrapositiveFollowing EquivalenceNecessary ConditionSufficient ConditionContradictionConjunctionDefinitionsPropositionalFollowing StatementsPrime Number

## Sample Document Text

Math 2534 Test 1B Fall 2008 solutions Problem 1: (12pts) Given the statement: October means that leaves will change to orange and maroon. a) Put into implication form. b) Give the contrapositive and express in an English sentence. c) Give the contradiction and express in an English sentence. Solution: a) Let O : it is October and L: the leaves will change OL? b) Contrapositive is LO¬ ?¬ The leaves have not turned, so it is not October. c) Contradiction is []OLO L¬ ?=?¬ It is October and the leaves have not changed. Problem 2: (16pts) Put the following statements into symbolic logic and then determine which statements are equivalent. Explain your reasoning. a) If you pass this course then you will graduate. b) You will not graduate if you do not pass this course. c) Only if you pass this course will you graduate. d) Pass this course or do not graduate. Solution: Let P : You pass...

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