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How can I prove that: abs(x+y) less than or equal to abs(x) + abs (y)?

How can I prove that: abs(x+y) less than or equal to abs(x) + abs (y)?
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How can I prove that: abs(x+y) less than or equal to abs(x) + abs (y)?

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User Hibob
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1 Answer

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|x+y| <= |x|+|y| let x=3, and let y = -5 |3-5| <= |3|+|-5| |-2| <= 3+5
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User Rattray
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