Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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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
Which of the following sets are well-ordered? Justify your answers. (a) A = {r € Q : r > -5} (b) A = {-4, –3, –2, –1,0, 1, 2, 3, 4} (c) A = {r € Q : -2 <I< 2} (d) A = {k €N: k is odd} %3D
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Transcribed Image Text:Which of the following sets are well-ordered? Justify your answers. (a) A = {r € Q : r > -5} (b) A = {-4, –3, –2, –1,0, 1, 2, 3, 4} (c) A = {r € Q : -2 <I< 2} (d) A = {k €N: k is odd} %3D
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