Prove that if x and y are real numbers, then max(x, y) + min(x, y) = x

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Prove that if x and y are real numbers, then max(x, y) + min(x, y) = x + y. Use a proof by cases, with the two cases corresponding to x ≥ y and x < y, respectively.

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Discrete Mathematics and Its Applications

ISBN: 978-0073383095

7th edition

Authors: Kenneth H. Rosen

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Question Posted: May 02, 2016 12:14 PM

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Prove that if x and y are real numbers, then max(x, y) + min(x, y) = x

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Following the hint we consider the two cases determined by the relative sizes of x ...View the full answer

Discrete Mathematics and Its Applications

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