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 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+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 {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 {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 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+blt6),(a+b-6","," If " a + b ge6):} Show that zero is the identity for this operation and each element a ne 0 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 opertion ** on the set {0,1,2,3,4,5} as a**b ={{:(a+b"," , if a + b lt 6), ( a + b -6, if a + b ge 6):} Show that zero is the identity for this operation and each element ane 0 of the set is invertible with 6-a being the inverse of a.

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