by pythag011, Jul 5, 2012, 3:55 AM ![\[\sum_{\mathrm{sym}} (a^4b^2 + a^{2+\sqrt{2}}b^2c^{2-\sqrt{2}}) \ge \sum_{\mathrm{sym}}(a^4bc + a^3b^3)\]](http://latex.artofproblemsolving.com/c/7/0/c70a722df7241ca28b4e20cd3392f8fa08b4ab13.png)
is replaced by any smaller positive real, this inequality becomes false.
by
AIME15, Jul 5, 2012, 4:19 AM
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