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For all sets A,B and C show that (A-B)nn...

For all sets A,B and C show that `(A-B)nn(A-C)=A-(BuuC)`

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To prove that \( (A - B) \cap (A - C) = A - (B \cup C) \), we will follow a step-by-step approach using set operations and properties. ### Step 1: Understand the Left-Hand Side (LHS) The left-hand side of the equation is \( (A - B) \cap (A - C) \). - **Definition of Set Difference**: - \( A - B \) is the set of elements that are in \( A \) but not in \( B \). - \( A - C \) is the set of elements that are in \( A \) but not in \( C \). ...
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