Verify whether the binary operation * on Q, the set of all rationals, defined as a*b=ab+1 is commutative or associative.

Define binary operation on a set. Verify whether the operation * defined on Q set of rational number by a*b= ab+1 AA a,b in Q is commutative or assosiative.

For a binary operation ** on the set of rational numbers Q defined as a** b= (ab)/2 Determine whetler ** is associative

For a binary operation ** on the set of rational numbers Q defined as a** b= (ab)/2 Determine whetler ** is commutative

Let ** be a binary operation on the set Q of rational numbers as follows a**b=a-b . Check whether * is commutative and associative

Let * be a binary operation on Q defined by a**b=ab+1 . Determine whether * is commutative but not associative.

Show that the binary operation ** defined on RR by a**b=ab+2 is commutative but not associative.