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for questions involving inequalities, upper and lower bounds.
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1
answer
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probably an easy inequality [closed]
Show that for any positive $a,b,c$ and any $\alpha \geq 65/66$ we have
$$\alpha\left( \frac{1}{a b} + \frac{1}{(b+c)(a+b+c)} + \frac{1}{(a+b+c)(a+b)} + \frac{1}{b c}\right)+ \frac{1}{(b+c)^2} + \fr …