I'm confronted with the following question that may of may not have a solution:(adsbygoogle = window.adsbygoogle || []).push({});

You are given eight variables, A, B, C, D, E, F, G, and H.

These variables are integers.

You know that:

A/B > E/F

and

C/D > G/H

Is it possible that (A+C)/(B+D) < (E+G)/(F+H)?

I've tried everything, such as multiplying, and expanding, but that did not get me anywhere. I also tried trial and error with unsuccessful results.

Is it even possible?

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# Multivariable proofs

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