where a, b € Z, b‡ 0. 3. Recall that a rational number r EQ is a number of the form r Decide whether each of the following claims is true or false. Then prove your answers. Claim 1. There is a positive rational number smaller than any other positive rational number. Claim 2. For any r € Q with r‡ 0, there exists m € Z for which rm E N = {1, 2, 3, ...}.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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where a, b € Z, b‡ 0.
3. Recall that a rational number r EQ is a number of the form r
Decide whether each of the following claims is true or false. Then prove your answers.
Claim 1. There is a positive rational number smaller than any other positive rational number.
Claim 2. For any r € Q with r‡ 0, there exists m € Z for which rm E N = {1, 2, 3, ...}.
Transcribed Image Text:where a, b € Z, b‡ 0. 3. Recall that a rational number r EQ is a number of the form r Decide whether each of the following claims is true or false. Then prove your answers. Claim 1. There is a positive rational number smaller than any other positive rational number. Claim 2. For any r € Q with r‡ 0, there exists m € Z for which rm E N = {1, 2, 3, ...}.
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