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Which of the following statements are necessarily true? ( i ) The complement of U contains a boundary point. ( ii ) The complement of

Which of the following statements are necessarily true?
(
i
)
The complement of U contains a boundary point.
(
ii
)
The complement of U contains no interior points.
(
iii
)
U is not an open set.
(
iv
)
U is not a closed set.

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