Define binary operation on a set. Verify whether the operation * is defined on Q set of rational number by a *b=ab+1, `AA a,b in Q` is binary or not.

Define a binary operation on a set

Define a binary operation on a set.

Define a binary operation on a set.

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.

Define binary operation on a set. Verify whether the operation * defined on Z by a* b=ab+1 is binary or not

Define binary operation on a set. Verify whether the operation * defined on Z, by a ** b = ab + 1 is binary or not.

Is @ defined on QQ the set of rational numbers, by a@b=(a-1)/(b-1)(a,binQQ), a binary operation?

Find the identify element for the binary operation *, defined on the set of Q of rational number, by a * b =(ab)/(4)

Is the binary operation ** defined on the set of rational numbers by the rule a**b=ab//4 associative ?

Prove that the operation @ on QQ , the set of rational numbers, defined by a@b=ab+1 is binary operational on QQ .