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1950 Poland - Second Round
2
a+b+c >=3 if a ,b > 0, abc=1 - Polish MO Second Round 1950 p2
a+b+c >=3 if a ,b > 0, abc=1 - Polish MO Second Round 1950 p2
Source:
September 1, 2024
algebra
inequalities
Problem Statement
Prove that if
a
>
0
a > 0
a
>
0
,
b
>
0
b > 0
b
>
0
,
a
b
c
=
1
abc=1
ab
c
=
1
, then
a
+
b
+
c
≥
3
a+b+c \ge 3
a
+
b
+
c
≥
3
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