How to prove that $\dfrac{1}{(y+z) x^4} + \dfrac{1}{(x+z) y^4} + \dfrac{1}{(y+x) z^4}\geq3/2$ for $x, y, z>0$, such that $xyz=1$?
How to prove that 1/ ((y+z) x^4) + 1/ ((z+x) y^4) + 1/ ((x+y) z^4) >3/2 for x, y, z>0 such that xyz=1?
Jogn
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