5. Problem set 2, #16. For each of the following sets, sketch the set and determine if (i) the set is connected or not, and (ii) the set is compact or not. (a) {z: 1< Re(z) ≤ 2} (b) {z 2 ≤ 2 ≤3} (c) {z z ≤5 and Im(2)| > 1}

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5. Problem set 2, #16. For each of the following sets, sketch the set and determine if (i) the
set is connected or not, and (ii) the set is compact or not.
(a) {z: 1< Re(z) ≤ 2}
(b) {z 2 ≤ 2 ≤3}
(c) {z z ≤5 and Im(2)| > 1}
Transcribed Image Text:5. Problem set 2, #16. For each of the following sets, sketch the set and determine if (i) the set is connected or not, and (ii) the set is compact or not. (a) {z: 1< Re(z) ≤ 2} (b) {z 2 ≤ 2 ≤3} (c) {z z ≤5 and Im(2)| > 1}
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