Prove the triangle inequality, which states that if x and y are real numbers, then |x| +

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Prove the triangle inequality, which states that if x and y are real numbers, then |x| + |y| ≥ |x + y| (where |x| represents the absolute value of x, which equals x if x ≥ 0 and equals −x if x < 0).

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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 12:15 PM

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Prove the triangle inequality, which states that if x and y are real numbers, then |x| +

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There are several cases to consider If x and y are both nonnegative then x y x y x y Similarly if bo...View the full answer

Discrete Mathematics and Its Applications

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