Decide whether or not the modulo system forms a group.
-{0, 1, 2, 3, 4, 5, 6, 7, 8}; Addition modulo 9
A) Not a group
B) Group

Question

Quizplus · Accepted Answer

This set with addition modulo 9 forms a group because it satisfies the four group axioms: closure (the sum of any two elements modulo 9 is also in the set), associativity (addition is associative), identity (0 acts as the identity element since adding 0 to any element modulo 9 leaves it unchanged), and inverses (for any element in the set, there exists another element in the set such that their sum modulo 9 is 0).

Decide Whether or Not the Modulo System Forms a Group