I guess this has more to do with the fact that Q is the additive group of rational numbers. In case the question above is too vague, I‘m not sure why every proper subgroup of Q is properly contained in another proper subgroup of Q.
I guess this has more to do with the fact that Q is the additive group of rational numbers of course can you write 3 examples of subgroups of Q? can you write an example of a subgroup properly included in another subgroup? the given problem is not trivial, i think i solved it on YA like 1 year ago,
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