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For sets A, B,C , show that (A-B) cup (A...

For sets A, B,C , show that `(A-B) cup (A-C) = A -(B cup C)`

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To prove the set identity \((A - B) \cup (A - C) = A - (B \cup C)\), we will show that both sides of the equation contain the same elements. ### Step-by-Step Solution: 1. **Understanding the Left Side**: The left side of the equation is \((A - B) \cup (A - C)\). - \(A - B\) consists of all elements that are in \(A\) but not in \(B\). - \(A - C\) consists of all elements that are in \(A\) but not in \(C\). ...
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