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Discussion

For any two sets A and B, A ∩ (A ∪ B) is equal to:

  • A.A
  • B.B
  • C.
  • D.A ∪ b

Answer: A

This is an absorption law in set theory.

The set A ∪ B contains all elements of A plus all elements of B.

When we take the intersection of this larger set with A, we are left with only the elements that are in A.

Therefore, A ∩ (A ∪ B) = A.

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