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2015 JBMO Shortlist
A3
Inequality very interesting.
Inequality very interesting.
Source: JBMO shortlist 2015
May 31, 2016
Zhan
SBYT
QJYT
Problem Statement
If
a
,
b
,
c
a,b,c
a
,
b
,
c
are positive real numbers prove that:
a
b
+
b
c
+
c
a
3
>
2.
\frac{a}{b}+\sqrt{\frac{b}{c}}+\sqrt[3]{\frac{c}{a}}>2.
b
a
+
c
b
+
3
a
c
>
2.
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