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

Which of the following is true? * defined by a*b=(a+b)/2 is a binary operation on Z (b) * defined by a*b=(a+b)/2 is a binary operation on Q (c) all binary commutative operations are associative (d) subtraction is a binary operation on N

Which of the following is true? * defined by (a) a*b=(a+b)/2 is a binary operation on Z (b) * defined by a*b=(a+b)/2 is a binary operation on Q (c) all binary commutative operations are associative (d) subtraction is a binary operation on N

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

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

Show that * On Z^(+) defined by a*b = |a-b| is a binary operation or not.

Show that * on Z^(+) defined by a*b=|a-b| is not binary operation

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