3. Recall that a rational number r € Q is a number of the form r = where a, b € Z, b + 0. 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 € N = {1,2, 3, ...}.

3. Recall that a rational number r € Q is a number of the form r = where a, b € Z, b + 0. 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 € 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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