Answered: Which of the following sets are…

Which of the following sets are well-ordered? Justify your answers. (a) A = {r € Q :1> -5} (b) A = {-4,–3, –2, –1,0,1, 2, 3, 4} (c) A = {r € Q: -2<1< 2}

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.5: Counting Principles

Problem 5SE: Answer the following questions. 5. What is the term for the arrangement that selects r objects from...

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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}
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