Let $a,b,c\in\mathbb{R^+}$. Prove that $$\frac{a^{11}}{b^5c^5}+\frac{b^{11}}{ c^5a^5}+\frac{c^{11}}{a^5b^5}\ge a+b+c$$(Real Matrik)
Problem
Source: Mathcenter Contest / Oly - Thai Forum 2011 (R1) p8 sl-12 https://artofproblemsolving.com/community/c3196914_mathcenter_contest
Tags: inequalities, algebra