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Unformatted text preview: Assignment 2 1. Which of the following propositions are true? a) 1 . 3 < √ 3 or chickens have lips. b) 1955 was a bad year for wine and √ 2 can be written as a fraction. c) 6 < 7 or 7 < 8. d) Ducks have claws ⇔ 1 + 1 = 2. e) There are inﬁnitely many primes ⇒ The U. S. debt is $10. 1 2. § 1.3: 1,2,7,9 3. § 1.4: 5, 6, 8, 9 4. Use the fundamental theorem of arithmetic to prove that 2 1 / 3 is irrational. 5. Assume that x,y, are real numbers. Which of the following propositions are true? a) ( ∀ x )( ∃ y )( x + y = 0) b) ( ∃ y )( ∀ x )( x + y = 0) c) ( ∃ y )( ∀ x )( xy = 0) d) b) ⇒ a) e) a) ⇒ b) 2...
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This note was uploaded on 08/05/2011 for the course MATH 131 taught by Professor Eskin during the Winter '10 term at UCLA.
 Winter '10
 ESKIN
 Math

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