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If A = {1, 2, {3, 4}}, which of the following is a true statement?

  • A.3 ∈ a
  • B.{1, 2} ⊂ a
  • C.{3, 4} ⊂ a
  • D.4 ∈ a

Answer: B

The elements of set A are 1, 2, and the set {3, 4}.

Option A is false because 3 is not an element of A; it's an element of the element {3, 4}.

Option B is true because 1 and 2 are elements of A, so the set containing them, {1, 2}, is a subset of A.

Option C is false because {3, 4} is an element of A, not a subset. For it to be a subset, 3 and 4 would have to be elements of A themselves.

Option D is false for the same reason as A.

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