(Z,*) is a group with a*b = a+b+1 ∀ a,b ∈ Z. The inverse of a is

(Z,*) is a group with a*b = a+b+1 ∀ a,b ∈ Z. The in

1.	(Z,) is a group with ab = a+b+1 ∀ a,b ∈ Z. The inverse of a is
A.	0
B.	-2
C.	a-2
D.	-a-2
Answer» E.

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&nbsp;(Z,*)&nbsp;is&nbsp;a&nbsp;group&nbsp;with&nbsp;a*b&nbsp;=&nbsp;a+b+1&nbsp;&forall;&nbsp;a,b&nbsp;&isin;&nbsp;Z.&nbsp;The&nbsp;inverse&nbsp;of&nbsp;a&nbsp;is

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(Z,) is a group with ab = a+b+1 ∀ a,b ∈ Z. The inverse of a is