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OpenStudy (anonymous):
show that the sum of the reciprocals of three different positive integers is greater than 6 times the reciprocal of their product.
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OpenStudy (zehanz):
Call the different positive integers a, b and c. Sum of the reciprocals is 1/a + 1/b + 1/c. (*) Reciprocal of product is 1/(abc). If you write (*) as one fraction, you are close to the solution.
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