Question

The set of all integers under the operation * defined by a * b = a + b + 1 is a group,then 3^-1 is

Answer 1

Answer:

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Step-by-step explanation:

First we need to find Identity

Let e be the identity

Then

a*e=e*a=a

Now a*e=a gives

a+e+1=a

e=-1

Now let x be the inverse of 3

Then

x*3=e

x+3+1=-1

x=-5

So 3^-1 = - 5