Consider the set S = {ze C: |Imz| < |2|}. (i). Sketch the set. (ii). Find...

 

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Consider the set S = {ze C: |Imz| < |2|}. (i). Sketch the set. (ii). Find interior points, exterior points, and boundary points. (iii). Find its closure. (iv). (a) Is S an open set? (b) Is S a closed set? (c) Is S a domain? Consider the set S = {ze C: |Imz| < |2|}. (i). Sketch the set. (ii). Find interior points, exterior points, and boundary points. (iii). Find its closure. (iv). (a) Is S an open set? (b) Is S a closed set? (c) Is S a domain?