1.1 - Definition of a Relation
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Practice Questions
Test your understanding with targeted questions
Define a relation in your own words.
💡 Hint: Think about how elements from two sets can be paired.
What is a reflexive relation? Give an example.
💡 Hint: Consider a relation that includes pairs of the same elements.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What defines a relation in mathematics?
💡 Hint: Think about how we can pair elements from two sets.
True or False: A symmetric relation must also be reflexive.
💡 Hint: Consider whether all elements must relate to themselves.
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Challenge Problems
Push your limits with advanced challenges
Create a set A and a relation R that is reflexive, symmetric, and transitive but has no additional pairs (like anti-symmetry). Explain your reasoning.
💡 Hint: Consider how adding pairs affects the properties you are establishing.
Given a relation R = {(1, 2), (2, 3), (3, 4)}, is it transitive? Justify your answer.
💡 Hint: Check pairs for forward chaining to verify transitivity.
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