Finding Real Solutions: Solving a System of Equations with Inequalities

[msimard8]

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

 

[rock.freak667]

Try eliminating c using the 2nd and 3rd equations

 

[HallsofIvy]

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.