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Very clever complex inequality.

  1. Jun 28, 2008 #1
    Prove that for every complex number z it happens that:

    [tex]|z+10|+|z+11|+|z+19| \le |z+8|+|z+12|+|z+20|[/tex]
  2. jcsd
  3. Jun 28, 2008 #2
    let z = a+ bi and physically evaluate the modulus.

    Is this some homework question? I am not sure why this is in the analysis section.
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