Consider the set S given by |z − 2 + i| < 1 a.) Determine whether the origin, (0, 0), is an interior point of S, and exterior point of S, of a boundary point of S. b.) Find the closure of S c.) Determine whether each of the following statement is true or false. Justify your answer. (i) S is an open set (ii) S is a closed set (iii) S is a bounded set (iv) S is a connected set (v) S is a domain

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