I have a fraction frac1 as below
frac1 = (-2 a + 2 b - 2 d + 4 a gamma - 4 b gamma + 4 d gamma) / (-3 a + 2 b - 3 d + 6 a gamma - 6 b gamma + 6 d gamma)
All the 4 variables in the fraction, a, b, d, and gamma, can only take values from 0 through 1 (inclusive). I want to find what relationship should a, b and d satisfy (for example, a + 3d < 6b, etc) such that the fraction frac1 always assumes values less than or equal to 0.6 for every value of gamma (from 0 through 1). In other words, how should a, b, and d be related so that there exists no value of gamma from 0 through 1 that makes the value of frac1 exceed 0.6?
I have been trying hard to find the correct command for this in Mathematica, but I'm really stuck. Any help is appreciated!!
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