#### Divergent_Integral

##### Recruit

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- Joined
- Jul 3, 2020

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You may post your solutions in the thread. If none are received, I will give the solution myself the next day. Good luck, and happy problem solving!

**Problem #0001**

Let a, b, c be positive numbers such that a + b + c = 1. Prove that (1 - a)(1 - b)(1 - c) >= 8abc. Under what conditions on a, b, c does the equal sign hold?