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For all sets A and B, show that, A uu ...

For all sets A and B, show that, `A uu (B - A) = A uu B`.

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To prove that \( A \cup (B - A) = A \cup B \) for all sets \( A \) and \( B \), we will follow a step-by-step approach. ### Step 1: Understand the components of the expression - The expression \( B - A \) represents the set of elements that are in \( B \) but not in \( A \). - The union \( A \cup (B - A) \) combines all elements from set \( A \) and all elements from \( B \) that are not in \( A \). **Hint:** Remember that the union of two sets includes all unique elements from both sets. ...
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