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Jul 19, 2020 at 19:29 comment added user44143 Now I see it, I got confused by the 2s and 4s.
Jul 19, 2020 at 18:40 comment added Fedor Petrov RHS is monotonic in $y$ when $y\geqslant x$ (take the derivative). Does not it help?
Jul 19, 2020 at 18:26 comment added user44143 Do you how to extend this reasoning to justify the inequality? The difference of the two sides is not obviously monotonic in any of the variables.
Jul 16, 2020 at 15:27 history answered Fedor Petrov CC BY-SA 4.0