Sets

Sets

Secondary 4

In \(\xi_1=\{1,2,3,4,5,6\}, A=\{2,4,6\}.\)

  1. Find \(A'\).

  2. The universal set changes to\[ \xi_2=\{1,2,\ldots,8\}, \] but \(A\) stays unchanged. Find the new \(A'\).

  3. Explain why the complement changed.

Solution:

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Answer:(a) \(\{1,3,5\}\) (b) \(\{1,3,5,7,8\}\) (c) Complements depend on the universe

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