The operation * defined `a**b = a`. Is * a binary operation on z.

Define binary operation.

Define a binary operation on a set

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 Z defined * by a ** b = a -b show that * is a binary operation of Z.

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

Show that addition, subtraction and multiplication are binary operations on R, but division is not a binary opertion on R. Further, show that division is binary opertion on the set R, of nonzero real numbers.

Verify whether the operation * defined on Q by a*b =(ab)/4 is associated or not.