Intersection of Sets Quiz
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Questions and Answers

What is the result of the intersection of set A = {2, 4, 6} and set B = {3, 6, 9}?

  • {2, 4, 3, 6, 9}
  • {6}
  • {3, 9}
  • {$\emptyset$} (correct)

    • If A = {1, 3, 5, 7} and B = {2, 4, 6, 8}, which sets are disjoint?

  • {1, 3} and {3, 5}
  • {1, 2} and {2, 8}
  • {1, 3, 5, 7} and {2, 4, 6, 8} (correct)
  • {1, 2, 3} and {4, 5}

    • What is the difference between set A = {2, 4, 6} and set B = {3, 6, 9}?

  • {2, 4, 6}
  • {2, 4} (correct)
  • {3, 6}
  • {$\emptyset$}

    • If A = {1, 2, 3} and B = {2, 3, 4}, what is A ∩ B?

    <p>{2}</p> Signup and view all the answers

    Which statement about disjoint sets is true?

    <p>Disjoint sets have no elements in common.</p> Signup and view all the answers

    If U is the universal set and A = {1, 2, 3}, what is the complement of A (A')?

    <p>{3}</p> Signup and view all the answers

    What is the symmetric difference of sets A and B denoted by?

    <p>A ∆ B</p> Signup and view all the answers

    If A = {1, 2, 3} and B = {2, 3, 4}, what is A U B?

    <p>{1, 2, 3, 4}</p> Signup and view all the answers

    Which law states that the union distributes over intersection for sets A, B, and C?

    <p>Distributive Law</p> Signup and view all the answers

    What does A - B represent in set theory?

    <p>Elements in set A but not in set B</p> Signup and view all the answers

    If A = {4, 5, 6} and its complement is shown as the shaded area in a Venn diagram with U = {4, 5, 6, 7, 8}, what is U?

    <p>{4, 5, 6, 7, 8}</p> Signup and view all the answers

    For sets A = {a, b} and B = {b, c}, which of the following represents the intersection of A and B?

    <p>{b}</p> Signup and view all the answers

    Which term is used to describe a set B that contains every element of set A, and it is denoted by 'B ⊆ A'?

    <p>Subset</p> Signup and view all the answers

    If A = {1, 2, 3} and B = {3, 4, 5}, which operation results in the set {3}?

    <p>Intersection of A and B</p> Signup and view all the answers

    If A = {2, 4, 6} and B = {3, 6, 9}, how would you describe these sets in terms of intersection?

    <p>Disjoint sets</p> Signup and view all the answers

    What is the result of the difference operation if A = {1, 2, 3, 4} and B = {3, 4, 5, 6}?

    <p>{1, 2}</p> Signup and view all the answers

    In set theory, what does the term 'complement' refer to?

    <p>Elements not in a particular set</p> Signup and view all the answers

    If the power set of a set A contains subsets {∅, {a}, {b}, {a, b}}, how many elements does the set A have?

    <p>$2^4$</p> Signup and view all the answers

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