Math245Quiz4Sum00

# Math245Quiz4Sum00 - Math 245 Name QUIZ 4 SECTIONS 3.1-3.3...

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Math 245 Name: ________________________ QUIZ 4 SECTIONS 3.1-3.3: METHODS OF PROOF; INDUCTIVE REASONING Show all work where appropriate! Your proofs will be graded on quality, clarity, completeness, and correctness. 1) Prove that is irrational using methods suggested in Section 3.1. (25 points)

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2) Consider the conjecture: If the sum of four real numbers is less than 100, then at least one of the numbers is less than 25. (10 points total) a) The conjecture essentially takes the form of an implication. Write (in English) the contrapositive of this implication. (5 points) b) Is the conjecture a true or false statement? (5 points)

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## This note was uploaded on 09/08/2011 for the course MATH 245 taught by Professor Staff during the Spring '11 term at Mesa CC.

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Math245Quiz4Sum00 - Math 245 Name QUIZ 4 SECTIONS 3.1-3.3...

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