Set Notation: Defining the Universal Set \((\mathcal{E})\) and Subsets
Set Notation: Defining the Universal Set \((\mathcal{E})\) and Subsets
Secondary 4
\(\xi=\{x\in\mathbb Z:2\le x\le20\}\).
\(A = \{x : x \text{ is a factor of}\hspace{0.5em} 12\}\)
\(B = \{x : x \text{ is divisible by}\hspace{0.5em} 3\}\)
List the elements of
- \(\xi\),
- \(A'\),
- \(B'\).
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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A Math TuitionAnswer:(a) \(\xi=\{2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20\}\). (b) \(A'=\{5,7,8,9,10,11,13,14,15,16,17,18,19,20\}\). (c) \(B'=\{2,4,5,7,8,10,11,13,14,16,17,19,20\}\).
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