Mark the correct alternative in each of the following:

For the binary operation * on Z defined by a * b = a + b + 1 the identity element is


For Identity element a * e = a = e * a , with ‘e’ being the identity element.


Given a * b = a + b + 1


a * e = a + e + 1 = a ….(1)


e * a = e + a + 1 = a …. (2)


e = -1 is the required identity element.

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