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1
a+b>2 if a+b<2ab - 1991 Greece MO Grade X p1
a+b>2 if a+b<2ab - 1991 Greece MO Grade X p1
Source:
September 6, 2024
algebra
inequalities
Problem Statement
Let
a
,
b
a, b
a
,
b
be two reals such that
a
+
b
<
2
a
b
a+b<2ab
a
+
b
<
2
ab
. Prove that
a
+
b
>
2
a+b>2
a
+
b
>
2
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