One can get very pedantic about this — if we want to fully specify the problem we need to define what number system X is a part of (reals, integers, natural numbers, etc) None of those number systems I named include infinity, so infinity can’t be a solution under those definitions of the problem.
But if we say X is an element of the super-reals (real + infinity) then infinity can be a solution
Don’t know much about this. I understand that ∞/2 (or in this case, ∞-2) = ∞, so in that sense could X not equal infinity?
Infinity is not usually considered as a number.
One can get very pedantic about this — if we want to fully specify the problem we need to define what number system X is a part of (reals, integers, natural numbers, etc) None of those number systems I named include infinity, so infinity can’t be a solution under those definitions of the problem.
But if we say X is an element of the super-reals (real + infinity) then infinity can be a solution