Complex Sets 1. Sketch the following sets and determine which are domains: (a) z 2+ i ≤ 1; - (b) |2z + 3 > 4; (d) Im z = 1; (c) Imz > 1; (e) 0 < ar 7 (2+0): (f) 17
Complex Sets 1. Sketch the following sets and determine which are domains: (a) z 2+ i ≤ 1; - (b) |2z + 3 > 4; (d) Im z = 1; (c) Imz > 1; (e) 0 < ar 7 (2+0): (f) 17
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.3: Systems Of Inequalities
Problem 19E
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Question
![Complex Sets
1. Sketch the following sets and determine which are domains:
(a) |z – 2 + i| < 1;
(c) Im z > 1;
(e) 0 < arg z <1/4 (z # 0);
(b) |2z + 3| > 4;
(d) Im z = 1;
(f) \z – 4| > \zl.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4e56f833-52fb-457a-9d9f-48a97bbbd4fe%2Fb1951bee-cf7b-4d7e-8077-e26a62ce14bf%2Fg5mznq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Complex Sets
1. Sketch the following sets and determine which are domains:
(a) |z – 2 + i| < 1;
(c) Im z > 1;
(e) 0 < arg z <1/4 (z # 0);
(b) |2z + 3| > 4;
(d) Im z = 1;
(f) \z – 4| > \zl.
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