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Part of 1950 Poland - Second Round

Problems(1)

a+b+c >=3 if a ,b > 0, abc=1 - Polish MO Second Round 1950 p2

Source:

9/1/2024
Prove that if a>0a > 0, b>0b > 0, abc=1abc=1, then a+b+c≥3a+b+c \ge 3
algebrainequalities