There are infinitely many pairs of positive integers that satisfy the equation x - y = 42, starting with (43, 1), (44, 2), (45, 3) and so on.
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True, an example of this is 1 - 2 = -1 1 - -------2 is = to -15000 fact
Subtract any POSITIVE integer from -2, and you get an integer that is smaller.
Add the opposite Integer. For example: 4-5=4+(-5), or -8-2=-8+(-2)
You will get a positive integer. If you subtract a negative number, you will be adding it. I think of it like 2 minuses equals a plus. :P
The set of positive integers is {1, 2, 3, 4, 5, ...}. Because the values approach positive infinity there is no largest positive integer. If you pick any positive integer, you can always create a larger one by simply adding 1 to it. So there can be no largest positive integer.