A neat bound for three positive reals
Trivia
This inequality states that for positive real numbers $a, b, c$, $\frac{a}{b+c} + \frac{b}{a+c} + \frac{c}{a+b} \ge \frac{3}{2}$. It is named after the actuary who first published it in 1903.
ANesbitt's Inequality
BSchur's Inequality
CYoung's Inequality
DThe AM-HM Inequality