Question

Does subtraction of two integers produce an integer?

Answer 1

It does, because suppose a and b are integers,

If a > b then a - b > 0 (integer)
If a < b then a - b < 0 (integer)
If a = b then a - b = 0 (integer)

We've checked all possibilities, they all give an integer.

Answer 2

oh very nice, thank you, i needed to know this for a certain proof involing intergewrs

Answer 3

yw!