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Problem 1

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. \(\\{n \mid n=2 m\) for some \(m\) in \(\mathcal{N}\\}\) d. \(\\{n \mid n=2 m\) for some \(m\) in \(\mathcal{N}\), and \(n=3 k\) for some \(k\) in \(\mathcal{N}\\}\) e. \(\\{w \mid w\) is a string of os and 1 s and \(w\) equals the reverse of \(w\\}\) f. \(\\{n \mid n\) is an integer and \(n=n+1\\}\)

Expert verified

a. Odd positive integers
b. All even integers (positive, negative, and 0)
c. Even positive integers
d. Multiples of 6
e. Binary palindromes
f. Empty set (∅)

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