Mathematics: Introduction to Sets
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Questions and Answers

Who developed the theory of sets?

  • Georg Cantor (correct)
  • Pythagoras
  • Isaac Newton
  • Albert Einstein
  • What concept serves as a fundamental part of present-day mathematics?

  • Sets (correct)
  • Sequences
  • Geometry
  • Probability
  • What does the study of geometry, sequences, and probability require?

  • Knowledge of sets (correct)
  • Knowledge of prime numbers
  • Knowledge of trigonometric series
  • Knowledge of natural numbers
  • What is used to define the concepts of relations and functions?

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

    According to the text, what kind of collections do we often speak of in everyday life?

    <p>Collections of objects of a particular kind</p> Signup and view all the answers

    According to the text, who stated 'there is must surely be something to be said for a study which did not begin with Pythagoras and will not end with Einstein'?

    <p>G.H. Hardy</p> Signup and view all the answers

    Which symbol is used to denote the phrase ‘belongs to’?

    <p>∈ (epsilon)</p> Signup and view all the answers

    What is the set of all vowels in the English alphabet represented in roster form?

    <p>{a, e, i, o, u}</p> Signup and view all the answers

    What does the set {1, 2, 3, 6, 7, 14, 21, 42} represent?

    <p>Numbers that divide 42</p> Signup and view all the answers

    Which is an example of representing a set in roster form?

    <p>{1, 3, 5, 7}</p> Signup and view all the answers

    What does the symbol ∉ represent?

    <p>Not belongs to</p> Signup and view all the answers

    In which form are elements separated by commas and enclosed within braces?

    <p>Roster form</p> Signup and view all the answers

    What is the set of all natural numbers less than 7 represented in roster form?

    <p>{2, 4, 6}</p> Signup and view all the answers

    Which symbol is used to denote the union of sets?

    <p>∪ (union)</p> Signup and view all the answers

    What does the set-builder form {x | x is a multiple of 4} represent?

    <p>{x | x is a multiple of 4}</p> Signup and view all the answers

    Which term is used to describe synonymous terms for elements of a set?

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

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