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    No negative number can be solution to this.
    abs(a-b) is non-negative, so c is positive (c>0).
    If a if negative:

    • if a ≥ b, then b is negative too, and abs(a-b) < c turns into a-b < c => 0 < c < a+b < 0 => False;
    • if a < b, then abs(a-b) < c => b-a < c < b+a; but with a < 0, b-a > b+a.
      So, our proposition of negative a leads to contradiction. And because a and b are symmetric in this expression, this also is true for negative b.
      Zeros are eliminated by using strict ineqaulities.
      Thus, only positive values of a,b and c conforms this expression.