Finding Real Solutions: Solving a System of Equations with Inequalities

msimard8
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Homework Statement



conssider the system of equations
a + b = 2m^2
b+c=6m
a+c =2

Determine all real values of m for whcih a<=b<=c


Homework Equations





The Attempt at a Solution



tried subtracting the equations

got a-c = -4m

a= -6m +2

i have no idea what I am trying to do..help
 
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Try eliminating c using the 2nd and 3rd equations
 
I agree with rock.freak667. It's fairly easy to solve for a, b, and c in terms of m. Then set up the inequalities and solve for m.
 

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