On Z+, define ∗ by a ∗ b = a
On Z+ = {1, 2, 3, 4, 5,… … .}
Let a = 2 and b = 1 Therefore, a ∗ b = 2 ∈ Z+
Activity * is a paired procedure on Z+ .
Determine whether or not each of the definition of ∗ given below gives a binary operation. In the event that ∗ is not a binary operation, give justification for this.(v)
Determine whether or not each of the definition of ∗ given below gives a binary operation. In the event that ∗ is not a binary operation, give justification for this.(v)