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Hello, why doesn't the distributive law apply in the arithmetic case?

(a<b)+c [enter] (b+c)>(c+a)

(9>8)-1 [enter] true-1, (1) -1 = 0
(9>8)-1 [enter] 9-1 < 8-1 , 8<7, true

You can prevent evaluation with quote
quote(9>8)-1

Why does the computational engine apply the rule of evaluating the left side first when it is an arithmetic operation? This is a standard in other CASs.

evaluation is done from 1st arg to last arg of commands, it's probably the same for other CAS.

If symbolically (a<b)+c is interpreted as an inequality, adding +c to it, (b+c)>(a+c), arithmetically it has to be the same to be consistent.

I understand that (a<b)+c is interpreted as "the result of inequality a<b plus c". But I also understand what you want. However it can be done in this way: