1.2.1 - Reflexive Relation
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Practice Questions
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What is a reflexive relation?
💡 Hint: Think about the definition involving pairs.
For set A = {x, y}, give an example of a reflexive relation.
💡 Hint: Use the elements of the set in your answer.
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Interactive Quizzes
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What characterizes a reflexive relation?
💡 Hint: Consider what it means for an element to relate to itself.
True or False: A reflexive relation can be defined on any set.
💡 Hint: Think about how sets and relations work.
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Challenge Problems
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Given a set A = {2, 4, 6, 8, 10}, create at least three different reflexive relations on the set and justify your choices.
💡 Hint: Remember each relation must include pairs (x, x).
How would you show that a relation R = {(1,1), (2,2), (3,3), (1,2)} is reflexive? What is missing?
💡 Hint: Check the list against all elements in the set.
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