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Name: Joseph K.
Status: student	
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Question:
How can I solve set of inequalities? Is there any analytical technique?
Particulay my set of inequalities is:
2x+2y+z>0
2x+y+2z>0
2x+y+z>0


Replies:
I do not see any way to solve these inequalities without additional information about the relation between x, y, and z. Let me illustrate this point. Suppose you chose to subtract equation (3) from equation (2). You get (2x+y+2z) - (2x+y+z) = z>0 ??? You cannot tell. To test my subtraction let us say z= +10 then the inequality is correct.

But if z= -10 < 0 and the inequality is incorrect. You need more information.

Vince Calder


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