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Weird Inequality

Source: Junior Olympiad of Malaysia Shortlist 2015 A2 (JOM P3)

July 17, 2015
Inequalityinequalities

Problem Statement

Let a,b,c a, b, c be positive real numbers greater or equal to 3 3 . Prove that 3(abc+b+2c)≥2(ab+2ac+3bc) 3(abc+b+2c)\ge 2(ab+2ac+3bc) and determine all equality cases.
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