Carcass wrote:

Which of the following pairs of integers have reciprocals whose sum is either less than \(\frac{1}{3}\) or greater than \(\frac{1}{2}\)?

Indicate \(all\) such pairs.

A. 1 and 14

B. 3 and 12

C. 5 and 10

D. 7 and 8

E. 6 and 8

Here only option b and E donot match the criteria

3 and 12 donot match the criteria because the reciprocal add up to 0.4166 which in not greater than \(\frac{1}{2}\)

and 6 and 8 donot match the criteria because the reciprocal add up to 0.291 which in not greater than \(\frac{1}{2}\) or less than \(\frac{1}{3}\)

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