Question

Does the set of all odd integers form a group with respect to addition?

Answer 1

Answer:

no

Step-by-step explanation:

The set of integers is a group under the OPERATION of addition: We have already seen that the integers under the OPERATION of addition are CLOSED, ASSOCIATIVE, have IDENTITY 0, and that any integer x has the INVERSE −x. Because the set of integers under addition satisfies all four group PROPERTIES, it is a group!