Could anyone help me solving this inequality?

a,b,c are positive real numbers, proove that:

[a/(b+c) + 1/2]*[b/(a+c) + 1/2]*[c/(a+b) + 1/2] >- +1

Thank You

I tried to do it with LaTEx:

OR

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- February 11th 2008, 02:10 PMMathroumInequality problem
Could anyone help me solving this inequality?

a,b,c are positive real numbers, proove that:

**[a/(b+c) + 1/2]*[b/(a+c) + 1/2]*[c/(a+b) + 1/2] >- +1**

Thank You

I tried to do it with LaTEx:

OR

- February 12th 2008, 09:18 AMMathroumGot it!
Hey I succeeded in prooving the inequality. The solution :

when we multiply the whole inequality by and get rid of brackets, we get :

then :

... same for (a+c) and (b+c)....

Finally :