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 $Z ^{+}$define * by $a * b = |a - b|$
Here, $Z^{+}$denotes the set of all non-negative integers.
In the event that * is not a binary operation give justification of this.
On $Z ^{+}$define * by $a * b = |a - b|$
Here, $Z^{+}$denotes the set of all non-negative integers.