Relations in Mathematics Chapter 3
5 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

Which relation must hold for a set to be considered reflexive?

  • Every element must relate to all other elements.
  • No element relates to itself.
  • Some elements relate to others.
  • Every element must be related to itself. (correct)

    • Which property does not guarantee that a relation is an identity relation?

  • Reflexivity
  • Transitivity (correct)
  • Symmetry
  • None of the above

    • Which of the following best describes a symmetric relation?

  • If element a is related to b, then b is also related to a. (correct)
  • If element a is related to b, then a cannot be related to b.
  • All elements are related to every other element.
  • If element a is not related to b, then b is related to a.

    • Which condition is sufficient for a relation to qualify as an identity relation?

    <p>Every element relates only to itself.</p> Signup and view all the answers

    Which of the following is a necessary characteristic of a set to be transitive?

    <p>If a is related to b and b is related to c, then a must be related to c.</p> Signup and view all the answers

    More Like This

    Use Quizgecko on...
    Browser
    Open
    Browser
    Browser