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solving a set of inequalities


I'll be grateful if you tell me how to solve this set of inequalities in  
mathematica. I've been looking in the help file but it returns an error  
and I don't know how to sort it oout.

I need to solve this set:

3*a + 5*b + 9*c > 6*a + 6*b + 8*c
3*a + 5*b + 9*c > a + 5*b + 12*c
x + y + z = 1


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