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.]

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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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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