Introduction to Sets

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Questions and Answers

Which statement accurately describes a characteristic of elements in a set?

  • Elements can be unordered in a set.
  • Elements must be unique in a set. (correct)
  • Elements can belong to multiple sets simultaneously.
  • Elements can be repeated within a set.

What is an example of an extensional definition of a set?

  • V = { x | x < 5 }
  • S = { x | x is even }
  • T = {2, 4, 6, 8, 10} (correct)
  • U = {x | x is a prime number}

Which of the following best defines an intensional set?

  • A set characterized by a specific property all its elements share. (correct)
  • A set that can contain mixed types of elements.
  • A set that has no restrictions on its elements.
  • A set defined by listing its elements explicitly.

How can a set be defined by using the characteristic function?

<p>By stating the common properties held by the elements. (B)</p> Signup and view all the answers

In which context is the set S = { x | x ∈ N AND x < 15 } defined?

<p>Over the set of natural numbers. (A)</p> Signup and view all the answers

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