Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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Set Theory
Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.
Question

Name each of the following sets, and define them either in roster notation, or set-builder notation (except for R - this one can’t easily be defined by either roster or set-builder notation with what we currently know). After defining these sets, explain the relationships among them in terms of subsets (i.e., which sets are subsets of the others, and why).

(a) N +

(b) N

(c) Z

(d) Q

(e) R

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