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Homework Help: Proof: a <= b + c implies

  1. Sep 5, 2011 #1
    1. The problem statement, all variables and given/known data

    Show:
    if a <= b + c,
    then a/(a + 1) <= (b / (b + 1)) + (c / (c + 1))

    I'm really not sure where to start from the initial statement a <= b + c. I'm using this in order to show that the metric space e(a,b) = d(a,b)/(1+d(a,b)) exists. Any help would be greatly appreciated, thank you!
     
  2. jcsd
  3. Sep 5, 2011 #2
    Also, this is for all a,b,c >= 0.
     
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