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Get Full Access to Discrete Mathematics And Its Applications - 7 Edition - Chapter 5.1 - Problem 51e
Get Full Access to Discrete Mathematics And Its Applications - 7 Edition - Chapter 5.1 - Problem 51e

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# What is wrong with this "proof""Theorem" For every

ISBN: 9780073383095 37

## Solution for problem 51E Chapter 5.1

Discrete Mathematics and Its Applications | 7th Edition

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Problem 51E

What is wrong with this "proof"?"Theorem" For every positive integer n, if x and y are positive integers with max(x, y) = n, then x = y.Basis Step: Suppose that n = 1. If max(x, y) = 1 and x and y are positive integers, we have x = 1 and y = 1.Inductive Step: Let k be a positive integer. Assume that whenever max (x, y) = k and x and y are positive integers, then x = y. Now let max(x, y) = k + 1, where x and y are positive integers. Then max(x ? 1, y ? 1) = k, so by the inductive hypothesis, x ? 1 = y ?1. It follows that x = y, completing the inductive step.

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Model Building and Gains from Trade Tuesday, January 24, 2017 4:16 PM Scientific Method in Economics -­‐Construct a theory (or hypothesis) -­‐Design experiments to test the theory -­‐collect data -­‐Revise or refute the theory based on the evidence Their lab is the world around us, so economists are not always able to design an experiment, therefore older data is often used Positive vs. Normative Positive : a claim that can be tested or validated to be true or false… "what is" Normative: statement of opinion; cannot be te

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##### ISBN: 9780073383095

The answer to “What is wrong with this "proof"?"Theorem" For every positive integer n, if x and y are positive integers with max(x, y) = n, then x = y.Basis Step: Suppose that n = 1. If max(x, y) = 1 and x and y are positive integers, we have x = 1 and y = 1.Inductive Step: Let k be a positive integer. Assume that whenever max (x, y) = k and x and y are positive integers, then x = y. Now let max(x, y) = k + 1, where x and y are positive integers. Then max(x ? 1, y ? 1) = k, so by the inductive hypothesis, x ? 1 = y ?1. It follows that x = y, completing the inductive step.” is broken down into a number of easy to follow steps, and 125 words. This full solution covers the following key subjects: Positive, max, integers, inductive, Integer. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. The full step-by-step solution to problem: 51E from chapter: 5.1 was answered by , our top Math solution expert on 06/21/17, 07:45AM. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. Since the solution to 51E from 5.1 chapter was answered, more than 382 students have viewed the full step-by-step answer. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095.

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