Question: solving inequality with restrictions and parameters

Hi,

 

I want to check this inequality (check below) for the set of parameters that holds, and I also want to restrict my variable to be real and non-negative (i.e k>=0), I am getting the usual message that "Solutions may have being lost". Can somebody please help me on how i can handle this ? Thanks 

alpha*beta*(1-alpha)*k^(alpha-1)/(1+beta)-1-(2*alpha-1)*alpha*(1-alpha)*beta*k^(2*(alpha-1))/(1+beta)+alpha^2*k^(alpha-1)

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