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Set Theory and Algebra: Unveiling the Interplay of Structures

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Multiple Choice

In set theory, the intersection of two sets (A) and (B) is defined as:

  1. \(A \cap B = \{x \in A \mid x \in B\}\)
  2. \(A \cap B = \{x \in A \mid x \notin B\}\)
  3. \(A \cap B = \{x \in B \mid x \in A\}\)
  4. \(A \cap B = \{x \in B \mid x \notin A\}\)