Foundations of Set Theory: Universal Sets and Complements
Foundations of Set Theory: Universal Sets and Complements
TGM Original
\(\xi=\{x\in\mathbb Z:1<x\le18\}\).
\(A = \{x : x \text{ is a multiple of}\hspace{0.5em} 3\}\)
List the elements of
- \(\xi \),
- \(A\),
- \(A'\).
All sets in this question are subsets of the stated universal set \(\xi\); every set-builder variable is restricted to that universe.
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Answer:(a) \(\xi=\{2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18\}\). (b) \(A=\{3,6,9,12,15,18\}\). (c) \(A'=\{2,4,5,7,8,10,11,13,14,16,17\}\).
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