Is the set of rational numbers a group under the operation of addition? Is the set of rational numbers a group under the

Question

Is the set of rational numbers a group under the operation of addition?
Is the set of rational numbers a group under the operation of addition? If not, why not? Select all that apply.
A. Yes, it is a group.
B. No, it is not a group. There is no identity element in the set of rational numbers under the operation of addition.
C. No, it is not a group. There exist rational numbers a and b such that a + b*b+a.
D. No, it is not a group. There exist rational numbers a, b, and c such that (a + b) + c#a+ (b + c).
E. No, it is not a group. The set of rational numbers is not closed under the operation of addition.
F. No, it is not a group. There is at least one rational number that does not have an inverse in the set of rational numbers under the operation of addition.

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