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Is it True (Event Manipulation)?

Which of the following are identically true ? For those that are not, say when they are true.

  1. \(A \cup (B\cap C) = (A\cup B) \cap (A \cup C)\)
  2. \(A \cap (B\cap C)= (A \cap B) \cap C\)
  3. \( A \cup B) \cap C = A \cup (B\cup C) \)
  4. \( A \setminus (B\cap C) = (A\setminus B) \cup (A \setminus C)\)

 

[GS2, p.1 # 5]

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