Solution Found!
Examine the following formal descriptions of sets so that
Chapter , Problem 0.1(choose chapter or problem)
Examine the following formal descriptions of sets so that you understand which members they contain. Write a short informal English description of each set.
a. \(\{1,3,5,7, \ldots\}\)
b. \(\{\ldots,-4,-2,0,2,4, \ldots\}\)
c. \(\{n \mid n=2 m \text { for some } m \text { in } \mathcal{N}\}\)
d. \(\{n \mid n=2 m \text { for some } m \text { in } \mathcal{N} \text {, and } n=3 k \text { for some } k \text { in } \mathcal{N}\}\)
e. \(\{w \mid w \text { is a string of } 0 \text { s and } 1 \text { s and } w \text { equals the reverse of } w\}\)
f. \(\{n \mid n \text { is an integer and } n=n+1\}\)
Questions & Answers
QUESTION:
Examine the following formal descriptions of sets so that you understand which members they contain. Write a short informal English description of each set.
a. \(\{1,3,5,7, \ldots\}\)
b. \(\{\ldots,-4,-2,0,2,4, \ldots\}\)
c. \(\{n \mid n=2 m \text { for some } m \text { in } \mathcal{N}\}\)
d. \(\{n \mid n=2 m \text { for some } m \text { in } \mathcal{N} \text {, and } n=3 k \text { for some } k \text { in } \mathcal{N}\}\)
e. \(\{w \mid w \text { is a string of } 0 \text { s and } 1 \text { s and } w \text { equals the reverse of } w\}\)
f. \(\{n \mid n \text { is an integer and } n=n+1\}\)
Step 1 of 6
(a) \(\{1,3,5,7, \ldots\}\)
It is a set of odd natural numbers.