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Math Help - Triangle Inequality

  1. #1
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    Triangle Inequality

    |x - y|<=|x|+|y|

    Does anyone know if the above is a true statment? Or is it just a lecture typo intending to be either:

    |x + y|<=|x|+|y|
    |x - y|<=|x|-|y|
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  2. #2
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    Is this true |-y|=|y|~?

    Is this true \left| {x - y} \right| = \left| {x + \left( { - y} \right)} \right| \leqslant \left| x \right| + \left| { - y} \right|~?
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  3. #3
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    Wink Ohh , it is true!

    Thanks
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