Let $U = \{1, 2, 3, 4, 5, 6, 7, 8, 9\}$,$A = \{1, 2, 3, 4\}$,$B = \{2, 4, 6, 8\}$,and $C = \{3, 4, 5, 6\}$. Find $(B - C)'$.

  • A
    $\{1, 3, 4, 5, 6, 7, 9\}$
  • B
    $\{1, 2, 3, 4, 5, 7, 9\}$
  • C
    $\{1, 3, 5, 7, 9\}$
  • D
    $\{1, 2, 3, 5, 7, 9\}$

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Let $U = \{1, 2, 3, 4, 5, 6\}$,$A = \{2, 3\}$,and $B = \{3, 4, 5\}$. Find $A'$,$B'$,$A' \cap B'$,$A \cup B$,and hence show that $(A \cup B)' = A' \cap B'$.

Taking the set of natural numbers as the universal set,write down the complement of the following set:
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