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Unformatted text preview: RED Name: Instructor: Pace Nielsen Math 290 Sample Exam 3 Note that the first 10 questions are truefalse. Mark A for true, B for false. Questions 11 through 20 are multiple choicemark the correct answer on your bubble sheet. Answers to the last five questions should be written directly on the exam, and should be written neatly and correctly. Truefalse questions 1. Let A be an uncountable set. There is no uncountable set  B  with  B  <  A  . 2. A set A is countable if and only if there is a bijection f : N A . 3. Every subset of an uncountable set is either finite or denumerable. 4. For every nonempty set A the sets P ( A ) and { , 1 } A are numerically equivalent. 5. Let S = { ( a,b ) N N : a b 2 } . Then S is denumerable. 6. If A and B are nonempty sets, then  A B   A  . 7. Let p Z with p 2. Then p is prime if and only if for all a Z , either p  a or ( a,p ) = 1. 8. Suppose that n,d,q,r Z with n,d 6 = 0 and n = qd + r . Then gcd( n,d ) = gcd( d,r )....
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This note was uploaded on 03/08/2011 for the course MATH 334 taught by Professor Smith during the Spring '11 term at Vanderbilt.
 Spring '11
 Smith
 Math

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