Definition of Sets in Mathematics
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Questions and Answers

What defines a set in terms of its elements?

  • Each element must be unique. (correct)
  • Elements are always ordered.
  • Elements can be repeated any number of times.
  • A set can contain duplicate elements.

    • What is an extensional definition of a set?

  • A definition based on conditions that elements must satisfy.
  • A method involving sets of other sets.
  • A description of the properties shared by the elements.
  • A list of specific elements that belong to the set. (correct)

    • What would be an example of an intensional definition of a set?

  • U = {x | x is a prime number} (correct)
  • W = {5, 10, 15, 20}
  • T = {2, 4, 6, 8}
  • V = {3, 6, 9, 12}

    • Which of the following statements is true regarding the characteristic function of a set?

    <p>It defines elements based on a specific condition.</p> Signup and view all the answers

    In which context is the concept of intensional definition most applicable?

    <p>When specifying the properties of elements in a given domain.</p> Signup and view all the answers

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