Question

2. Let * be a binary operation defined on the set Z of integers as a * b = a + b + 1.
Then find the identity element.

Answer 1

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Step-by-step explanation:

Let e be the identity element

Then a * e = e * a = a

Now a * e = a gives

a + e + 1 = a

⟹ e = - 1

- 1 is the identity element.