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 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 * 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 the set A={0,1,2,3,4,5} as a*b=a+b( mod 6). Show that zero is the identity for this operation and each element a of the set is invertible with 6-a being the inverse of a.

Define a binary operation * on the set A={0,\ 1,\ 2,\ 3,\ 4,\ 5} as a * b=a+b(mod 6) Show that zero is the identity for this operation and each element a of the set is invertible with 6-a being the inverse of adot

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 a binary operation * on the set A={1,2,3,4} as a*b=ab(mod5) show that 1 is the identity for * and all elements of the set A are invertible with 2^(-1)=3 and 4^(-1)=4

Define a binary operation * on the set A={1,2,3,4} as a^(*)b=ab(mod5). Show that 1 is the identity for * and all elements of the set A are invertible with 2^(-1)=3 and 4^(-1)=4

Define a binary operation * on the set A = {0,1,2,3,4,5}, given by a * b = (ab) mod 6, show that for *,1 and 5 are only invertible elements with 1^-1 = 1 and 5^-1 = 5

Define a binary operation * on the set {0, 1, 2, 3, 4, 5} as a*b = { a + b , if a+ b < 6 a+b-6 , if a+bge6 . Show that zero is the identity for this operation and each element 'a' of the set is invertible with (6-a) being the inverse of a.