Day 2 Russian Olympiad 2015 | Math Olympiad Training | Inequalities
This problem comes from Day 2 of the 2015 Russian Math Olympiad for Grade 11.
Let a, b, c, d be real numbers satisfying |a|, |b|, |c|, |d| greater than 1.
Prove that 1/(a-1) + 1/(b-1) + 1/(c-1) + 1/(d-1) is greater than 0.
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