Questions and Answers
What is the mathematical definition of a relation R from a set A to a set B?
A relation is a subset of the cartesian product A × B
If no element of set A is related to any other element of set A, what is the name given to this type of relation?
Trivial Relation
Which of the following statements is true about the empty relation in a set A?
No element in set A is related to any other element in set A
What does it mean if a relation R from a set A to a set B is called the universal relation?
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If a relation R from a set A to a set B is not empty but not universal either, what type of relation does it represent?
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What type of relation is a relation R in a set A if it is reflexive, symmetric, and transitive?
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Given a function f : X → Y, what makes f a one-to-one function?
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What defines a function f : X → Y as onto?
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In the context of functions, what does it mean for a function to be invertible?
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What characterizes a binary operation ∗ on a set A?
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