No. Consider 0 and 1. Or negative numbers, whose sum produces a smaller number.
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That's because the integers may be negative. For example, the sum of (-6) and (-6) is (-12), which is less than their difference (0).
It isn't. 5 - 10 = -5
No example 1-2=-1
no never 9 is a positive so it is always greater
The modulus would be described as the distance between, it is without direction and would therefore always be positive.