SOLUTION: Let * denote the binary operation defined on Q, the set of all rational numbers, by x*y=3xy, for all x, y in Q. Exactly which of the following properties does * have? i. Commutati

SOLUTION: Let * denote the binary operation defined on Q, the set of all rational numbers, by xy=3xy, for all x, y in Q. Exactly which of the following properties does have? i. Commutati

Question 856511: Let * denote the binary operation defined on Q, the set of all rational numbers, by x*y=3xy, for all x, y in Q. Exactly which of the following properties does * have?
i. Commutativity
ii. Associativity
iii. Has an identity
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Commutative:

So .
It is commutative.
.
.
.

So
It is associative.
.
.
What exactly do you mean by identity for a two input operation?
Do you want ???

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