I have an inequality and tried to solve it and reached the following:(adsbygoogle = window.adsbygoogle || []).push({});

Original question: Prove (1/a - 1)(1/b - 1)(1/c - 1) >= 8 when a+b+c = 1 and a,b,c positive

After expanding and some eliminations,

I still need to prove 1/a + 1/b + 1/c -1 >= 8

Any suggestion how to solve it?

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# Homework Help: How can I prove this inequality

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