Prove that if x and y are real numbers, then max(x, y) + min(x, y) = x+y. [Hint: Use proof by cases with the two cases corresponding to x > y and x < u. respectively.]

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter18: Deterministic Dynamic Programming
Section18.1: Two Puzzles
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9. Prove that if x and y are real numbers, then max(x, y) + min(x, y) = x+y. [Hint: Use a
proof by cases with the two cases corresponding to x ≥ y and x < y, respectively.]
Transcribed Image Text:9. Prove that if x and y are real numbers, then max(x, y) + min(x, y) = x+y. [Hint: Use a proof by cases with the two cases corresponding to x ≥ y and x < y, respectively.]
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