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Math Help - Inequalities [Mathematica]

  1. #1
    Senior Member bkarpuz's Avatar
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    Exclamation [SOLVED] Inequalities [Mathematica]

    I need to find positive \varepsilon,\delta values satisfying the following three inequalities.
    How can use Mathematica to do this?

    4\varepsilon+2\delta\leq\frac{81}{128}
    \varepsilon+\delta\leq\frac{1}{6}
    2\varepsilon+4\delta>\frac{81}{128}

    Thanks.
    Last edited by bkarpuz; October 5th 2008 at 05:37 AM.
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  2. #2
    Super Member
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    Code:
    In[59]:=
    FindInstance[{4*e + 2*d <= 81/128 && 
        e + d <= 1/6 && 2*e + 4*d > 81/128}, 
      {e, d}]
    
    Out[59]=
    {{e -> 5/384, d -> 59/384}}
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