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Yes unless a=b, when a-b and b-a both =0.
Algebra it lets you generalise variables that may have very different values in use, so the acknowledgement of difference is implicit in use of different letters. question.
E.g. let a=4, b=2
Then a-b = 4-2 = 2
But
b-a = 2-4 = -2.
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"Less than" is an asymmetric relationship since if a less than b then b is not less than a. That is, (a < b) => ¬ (b < a).
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