SOLUTION: Show that the usual subtraction (if possible) on integers induces a binary operation on non negative integers.

Question 1167229: Show that the usual subtraction (if possible) on integers induces a binary operation on non negative integers.
Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
.

This statement is INVALID.

It is invalid because when the result of subtraction is negative, it lies outside of the domain of non-negative numbers.

It contradicts to the definition of a system with binary operations.

According to the definition of such systems, the operation should be determined over all pairs of elements with
the final value in the same set as a domain.

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