Question
Determine whether or not the definition of * given below gives a binary operation. In the event that * is not a binary operation give justification of this.
On $Z^{+}$, defined * by a * $b=a-b$.
Here, $Z ^{+}$denotes the set of all non-negative integers.
On $Z^{+}$, defined * by a * $b=a-b$.
Here, $Z ^{+}$denotes the set of all non-negative integers.