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Prove That A∩(B∪C)=(A∩B)∪(A∩C)A \cap ( B \cup C ) = ( A \cap B ) \cup ( A \cap C )

Question 192

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Prove that A∩(B∪C)=(A∩B)∪(A∩C)A \cap ( B \cup C ) = ( A \cap B ) \cup ( A \cap C ) by giving a containment proof (that is, prove that the left side is a subset of the right side and that the right side is a subset of the left side).

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