Mastering Mathematical Sets
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Questions and Answers

Which of the following statements is true about the union of sets A and B?

  • If A and B are non-empty sets, then A ∪ B is also a non-empty set. (correct)
  • If A and B are infinite sets, then A ∪ B is also an infinite set.
  • If A and B are finite sets, then A ∪ B is also a finite set.
  • If A and B are disjoint sets, then A ∪ B is also a disjoint set.

    • Which of the following is true about the intersection of sets A and B?

  • If A and B are non-empty sets, then A ∩ B is also a non-empty set. (correct)
  • If A and B are disjoint sets, then A ∩ B is also a disjoint set.
  • If A and B are finite sets, then A ∩ B is also a finite set.
  • If A and B are infinite sets, then A ∩ B is also an infinite set.

    • Which of the following is true about the complement of a set A?

  • The complement of A is always an infinite set.
  • The complement of A is the set of all elements that are not in A. (correct)
  • The complement of A is always a finite set.
  • The complement of A is always a subset of A.

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