# Proving an inequality?

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If a, b, and c are positive numbers and a+b+c=1, prove the inequality

#a*b+b*c+c*a ≥ 9*a*b*c #

If a, b, and c are positive numbers and a+b+c=1, prove the inequality

##### 1 Answer

Feb 19, 2017

The arithmetic mean is greater than the harmonic mean

#### Explanation:

or