MathDB
Problems
Contests
International Contests
Silk Road
2009 Silk Road
1
1
Part of
2009 Silk Road
Problems
(1)
SRMC 2009
Source: ineq
2/5/2012
Prove that, abc≤1 and a,b,c>0
1
a
+
1
b
+
1
c
≥
1
+
6
a
+
b
+
c
\frac{1}{a}+\frac{1}{b}+\frac{1}{c}\geq 1+ \frac{6}{a+b+c}
a
1
+
b
1
+
c
1
≥
1
+
a
+
b
+
c
6
inequalities unsolved
inequalities