Determine whether the given system forms (a) a group and (b) an Abelian group. {-8, 0, 8} under addition
A) a group but not an Abelian group
B) Abelian group
C) not a group
D) Abelian group but not a group

Question

Quizplus · Accepted Answer

The set {-8, 0, 8} under addition is not closed, as adding two elements from the set can result in a number not in the set (e.g., 8 + 8 = 16). Therefore, it does not satisfy the group property of closure and is not a group.

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