a. B and C are positive real numbers, which are not equal to each other and ABC = 1

a. B and C are positive real numbers, which are not equal to each other and ABC = 1

We can construct a local inequality: notice that from the condition ABC = 1, we can know: 1 / a = BC1 / b = AC1 / C = AB, so from the mean inequality: 1 / A + 1 / b = BC + AC > = 2 √ (ABC ^ 2) and ABC = 1, then ABC ^ 2 = C, so 1 / A + 1 / b > = 2 √ C, similarly: 1 / B + 1 / C > = 2 √ A1 / A + 1 / C > = 2 √ B, after adding the above three formulas, divide the two sides by 2

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