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Question
For any two sets A and B,\[A \cap \left( A \cup B \right) =\]
Options
(a) A
(b) B
(c) ϕ
(d) none of these.
Solution
(a) A
\[A \cap (A \cup B) = (A \cap A) \cup (A \cap B) = A \cup (A \cap B) = A\]
\[\]
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