If $A$ is any set,then:

  • A
    $A \cup A' = \phi$
  • B
    $A \cup A' = U$
  • C
    $A \cap A' = U$
  • D
    None of these

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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 $(A \cup B)'$.

Two dice are thrown. The events $A, B$ and $C$ are as follows:
$A:$ getting an even number on the first die.
$B:$ getting an odd number on the first die.
$C:$ getting the sum of the numbers on the dice $\leq 5$.
Describe the event $\text{not } B$.

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$A = \{ x : x \text{ is an odd natural number} \}$

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