Binary Relations Quiz
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Questions and Answers

What is a binary relation in mathematics?

  • A set of ordered pairs (x, y) consisting of elements x from X and y from Y (correct)
  • A set of ordered pairs (y, x) consisting of elements x from Y and y from X
  • A set of ordered pairs (y, x) consisting of elements x from X and y from Y
  • A set of ordered pairs (x, y) consisting of elements x from Y and y from X

    • What does a binary relation encode?

  • The concept of function: an element x is related to an element y if and only if the pair (x, y) belongs to the set of ordered pairs that defines the binary relation
  • The concept of codomain: an element x is related to an element y if and only if the pair (x, y) belongs to the set of ordered pairs that defines the binary relation
  • The concept of domain: an element x is related to an element y if and only if the pair (x, y) belongs to the set of ordered pairs that defines the binary relation
  • The concept of relation: an element x is related to an element y if and only if the pair (x, y) belongs to the set of ordered pairs that defines the binary relation (correct)

    • What is a binary relation a generalization of?

  • Quaternary function
  • Unary function (correct)
  • Ternary function
  • Binary function

    • What is the special case n = 2 of an n-ary relation over sets X1,., Xn?

    <p>Binary relation</p> Signup and view all the answers

    What is an example of a binary relation?

    <p>The 'divides' relation over the set of prime numbers P and the set of integers Z</p> Signup and view all the answers

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