For the binary operation * defined by a * b = a + b + 1. Find the identity element for operation *.

### Asked by Topperlearning User | 26th Apr, 2016, 11:58: AM

Expert Answer:

Let e be the identity element for operation * and we know that

a * e = a = e * a.

or a + e + 1 = a and e + a +1 = a

or e = – 1 and e = – 1.

Thus, – 1 is the identity element for operation *.

### Answered by | 26th Apr, 2016, 01:58: PM

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