Let * be a binary operation on `Z` defined by `a*b=a+b-4` for all `a ,\ b in Zdot` Find the identity element in `Zdot` (ii) Find the invertible elements in `Zdot`

Let * be a binary operation on Z defined by a*b= a+b-4 for all a ,\ b in Zdot (i)Find the identity element in Zdot (ii) Find the invertible elements in Zdot

Let * be a binary operation on Z defined by a*b=a+b-4 for all a,b in Z. Find the identity element in Z .(ii) Find the invertible elements in Z .

Let * be a binary operation on Zdefined by a*b=a+b- 15 for a,binZ . Find the identity element in (Z,*)

Let * be a binary operation o Q defined by a*b= (ab)/4 for all a,b in Q ,find identity element in Q

Let * be a binary operations on Z and is defined by , a * b = a + b + 1, a, bin Z . Find the identity element.

Let * be a binary operation o Q defined by a^(*)b=(ab)/(4) for all a,b in Q,find identity element in Q

Let S =Q xx Q and let * be a binary operation on S defined by (a, b)* (c,d) = (ac, b+ad) for (a, b), (c,d) in S. Find the identity element in S and the invertible elements of S.

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.

Let * be a binary operation on set Q-[1] defined by a*b=a+b-a b for all a , b in Q-[1]dot Find the identity element with respect to *onQdot Also, prove that every element of Q-[1] is invertible.

Let * be a binary operation on set Q-[1] defined by a*b=a+b-a b for all a , b in Q-[1]dot Find the identity element with respect to *onQdot Also, prove that every element of Q-[1] is invertible.