Determine whether the given system forms (a)a group and (b)an Abelian group.
{-2, 0, 2} under addition
A)Abelian group
B)a group but not an Abelian group
C)not a group
D)Abelian group but not a group

Question

Quizplus · Accepted Answer

The set {-2, 0, 2} under addition does not form a group because it does not satisfy the closure property; for example, 2 + 2 = 4, which is not in the set.

Determine Whether the Given System Forms (A)a Group and (B)an