Question: I am having trouble getting started with this proof. The problem is that I have no idea how to relate the elements of orders that

I am having trouble getting started with this proof. The problem is that I have no idea how to relate the elements of orders that divide n to a group. I do not want an answer to the question, but rather a sketch of the basic concepts that I need to prove it/ relate the elements to a group. Here is the question:

For an abelian group A and n in N, show that the set A(n) of all elements whose order is finite and divides n is a subgroup.

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