For a binary operation if a*e = a, then e s called the right identity
If then is called the left identity
For the given binary operation,
which is less than 6
which is less than 6
For the condition,
But does not belong to the given set
So the identity element is 0
An element is said to be the inverse of a, if e where e is the identity element
a belongs to ,
– a belongs to
So c belongs to ,
So is not the inverse for all elements
Putting in the condition
=> belongs to the given set
Hence the inverse of the element a is (6-a)