Which of the following subsets in the set of complex numbers is not closed for the usual multiplication operation S of complex numbers? (a) C(b) C\{0}(c) {1,0, -1}(d) {z ∈ C | |z| = 1}(e) {z ∈ C | |z| ≠ 1 }

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter1: Equations And Inequalities
Section1.3: Complex Numbers
Problem 107E
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Which of the following subsets in the set of complex numbers is not closed for the usual multiplication operation S of complex numbers?

(a) C
(b) C\{0}
(c) {1,0, -1}
(d) {z ∈ C | |z| = 1}
(e) {z ∈ C | |z| ≠ 1 }

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