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