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by yequalsx 5239 days ago
That is a very nice explanation. It shows why intuitively we expect (a+1)/(b+1) to be greater. But note that there are some unstated assumptions. Namely that both a, b > 0. And so we see that intuition at times carries unstated assumptions that can be a trap in a generalized situation.

Tokenadult and codehotter didn't mention the case when a or b < 0.