Question:medium
Let \( X \) and \( Y \) be two non-empty sets such that \( X \cap A = Y \cap A = \emptyset \) and \( X \cup A = Y \cup A \) for some non-empty set \( A \). Then
Let \( X \) and \( Y \) be two non-empty sets such that \( X \cap A = Y \cap A = \emptyset \) and \( X \cup A = Y \cup A \) for some non-empty set \( A \). Then
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When sets are disjoint from a common set, equality of unions directly implies equality of the original sets.
Updated On: May 8, 2026
- \( X \) is a proper subset of \( Y \)
- \( Y \) is a proper subset of \( X \)
- \( X = Y \)
- \( X \) and \( Y \) are disjoint sets
- \( X \setminus A = \emptyset \)
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The Correct Option is C
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