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Regional Mathematical Olympiad
1990 India Regional Mathematical Olympiad
2
Simple inequality
Simple inequality
Source:
October 14, 2005
inequalities
Problem Statement
For all positive real numbers
a
,
b
,
c
a,b,c
a
,
b
,
c
, prove that \frac {a}{b \plus{} c} \plus{} \frac {b}{c \plus{} a} \plus{} \frac {c}{a \plus{} b} \geq \frac {3}{2}.
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