Let (A, B, C subset X). The symmetric difference of (A) and (B) is (A triangle B:=(A

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 Let \(A, B, C \subset X\). The symmetric difference of \(A\) and \(B\) is \(A \triangle B:=(A \backslash B) \cup(B \backslash A)\). Verify that

\[(A \cup B \cup C) \backslash(A \cap B \cap C)=(A \triangle B) \cup(B \triangle C)\]

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