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Unformatted text preview: RED Name: Instructor: Darrin Doud Math 290 Sample Exam 1 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. Every nonempty set has at least two subsets: itself and the empty set. 2. The statement P = ( P Q ) is a tautology. 3. The sentence x 2 4 = 0. is a statement. 4. The empty set is an element of every set. 5. The two sets { n Z :  n  < 2 } and { 1 , , 1 } are equal. 6. The union [ n =1 1 n ,n is equal to [0 , ). 7. The statement A triangle is equilateral if and only if all three of its angles are equal. is a characterization of equilateral triangles. 8. The negation of the statement x R ,x 2 0 is the statement x R ,x 2 < 0. 9. If an implication P = Q is true, then its converse must also be true. 10. The statements P = Q and ( P ) Q are logically equivalent. Multiple choice section 11. Given below is a proof of a result....
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 Spring '11
 Smith
 Math

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