A binary operation `@` is defined on the set `A={0,1,2,3,4,5}` as follows: `a@b=a+b(mod6)` for all `a,binA.` Prove that `oinA` is the identity element In A is invertible with operation `@` and each element A is invertible with `6-ainA` being the inverse of the element a.

A binary operation ** is defined on the set S={0,1,2,3,4} as follows: a**b=a+b(mod5) Prove that 0inS is the identity element of the binary operation ** and each element ainS is invertible with 5-ainS being the inverse of the element a.

A binary operation * on the set {0,1,2,3,4,5} is defined as: a*b={a+b a+b-6" if "a+b<6" if" a+bgeq6 Show that zero is the identity for this operation and each element a of the set is invertible with 6a, being the inverse of a.

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+b geq 6 . Show that zero is the identity for this operation and each element a !=0 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 OR A binary operation * on the set {0,1,2,3,4,5} is defined as a*b={a+b ,ifa+b<6a+b-6,ifa+bgeq6 Show that zero is the identity for this operation and each element a of 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 OR A binary operation * on the set {0,1,2,3,4,5} is defined as a*b={a+b ,ifa+b<6a+b-6,ifa+bgeq6 Show that zero is the identity for this operation and each element a of 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 a . OR A binary operation ** on the set {0,1,2,3,4,5} is defined as a**b={[a+b if a+b = 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 {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 ane0 of the set is invertible with 6 - a being the inverse of a.

A binary operation * on the set {0,1,2,3,4,5} is defined as: a * b={a+b ,a+b-6"\ \ \ \ if\ "a+b<6"\ \ \ if"\ a+bgeq6 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 {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.

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.