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Mathematica Algebra

Reucing / solving inequality

Ko Ba

Posted 10 years ago

How can I reduce following inequalities in mathematica: x1 ? 2 , x2 ? 1, x3 ? 2, x1 + x2 ? 4, x1 + x3 ? 7, x2 + x3 ? 10 And x1 + x2 + x3 = 14 I reduce and get: 2 ? x1 ? 4, 1 ? x2 ? 7, 2?x3 ?10, x1+x2 + x3 = 14. This is the result I want, but I can't find the right code in mathematica.

POSTED BY: Ko Ba

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Erik Mahieu

Posted 10 years ago

Just Reduce it! In[151]:= Reduce[{x1 >= 2, x2 >= 1, x3 >= 2, x1 + x2 >= 4, x1 + x3 >= 7, x2 + x3 >= 10, x1 + x2 + x3 == 14}, {x1, x2, x3}] Out[151]= ((2 <= x1 <= 3 && 4 - x1 <= x2 <= 7) \|\| (3 < x1 <= 4 && 1 <= x2 <= 7)) && x3 == 14 - x1 - x2

Just Reduce it!

In[151]:= Reduce[{x1 >= 2, x2 >= 1, x3 >= 2, x1 + x2 >= 4, 
  x1 + x3 >= 7, x2 + x3 >= 10, x1 + x2 + x3 == 14}, {x1, x2, x3}]

Out[151]= ((2 <= x1 <= 3 && 4 - x1 <= x2 <= 7) || (3 < x1 <= 4 && 
     1 <= x2 <= 7)) && x3 == 14 - x1 - x2

POSTED BY: Erik Mahieu

Isaac Abraham

Isaac Abraham, Analog engineer, Intel.

Posted 10 years ago

With Mathematica, the commands are named for the operation they perform with a capitalized first letter. Therefore if for example you have the mathematical feeling that you should probably solve, reduce, integrate or whatnot, simply type that up in the documentation center and you will find the proper syntax. Have fun using Mathematica!

POSTED BY: Isaac Abraham

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