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Questions and Answers
Which relation must hold for a set to be considered reflexive?
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?
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?
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?
Which condition is sufficient for a relation to qualify as an identity relation?
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Which of the following is a necessary characteristic of a set to be transitive?
Which of the following is a necessary characteristic of a set to be transitive?
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