a*b={[a+b,quad " if "a+b<6],[a+b-6" if "a+b>=6]

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.

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 +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, "if" a+b lt 6),(a+b-6, "if" a +b gt=6):} Find the composition table for * Also, show that zero is the identity for this operation and each non-zero 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 opertion 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 operation and each element ane 0 of the set is invertible with 6-a being the inverse of a.

If A = {0,1,2,3,4,5} Define a binary operation * on A as a*b = {{:(a+b, if, a+b lt 6),(a+b-6, if, a + b ge 6):} , Show that 0 is the identity and each element a ne 0 is invertible and find the inverse of a.

Determine whether '+_6' on S={0,\ 1,\ 2,\ 3,\ 4,\ 5} defined by a+_6b={a+b ,\ if\ a+b<6a+b-6,\ if\ a+bgeq6 define a binary operation on the given set or not:

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