In `(z, **)` where `**` is defined as `a ** b = a +b +2`. Verify the commutative and associative axiom.

On Q, define * by a ** b = (ab)/4 . Show that * is both commutative and associative.

On Z, the set of all integers,a binary operation * is defined by a*b=a+3b-4 Prove that * is neither commutative nor associative on Z.

On Z , the set of all integers, a binary operation * is defined by a*b= a+3b-4 . Prove that * is neither commutative nor associative on Zdot

Let * be a binary operation on Q, defined by a * b =(ab)/(2), AA a,b in Q . Determine whether * is commutative or associative.

True or False statements : The binary operation * defined in Z by a * b = a + b is commutative but not associative.

Let ** be the binary operation on Q define a**b = a + ab . Is ** commutative ? Is ** associative ?

On Z an operation * is defined by a*b=a^(2)+b^(2) for all a,b in Z .The operation* on Z is commutative and associative associative but not commutative (c) not associative (d) not a binary operation

Let * be a binary operation on Z defined by a*b=a+b-4 for all a,b in Z. show that * is both commutative and associative.

Let * be a binary operation on Z defined by a*b= a+b-4 for all a ,\ b in Zdot Show that * is both commutative and associative.

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