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

The operation ** defined by a ** b =(ab)/7 is not a binary operation on

Define binary operation.

Is * defined by a * b=(a+b)/2 is binary operation on Z.

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 a binary operation on a set.

Define a binary operation on a set.

Is * defined by a^(*)b=(a+b)/(2) is binary operation on Z.

Determine whether a ** b = 2a +3b "on" Z operations as defined by * are binary operations on the sets specified in each case. Give reasons if it is not a binary operation.