Question: Use the set-roster notation to indicate the elements in the set. S = {n Z| n = (1)^k , for some integer k}. Answer: {-1,1}

Use the set-roster notation to indicate the elements in the set.
S = {n Z| n = (1)^k , for some integer k}.
Answer: {-1,1}
Use the set-roster notation to indicate the elements in the set.
U = {r Z| 2 r 2}
Answer: (the set has no elements)
Can someone please explain why these are the answers? I know means "is an element of" but I'm not sure how I would arrive at these answers.

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