Practice - Question 4
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Practice Questions
Test your understanding with targeted questions
What does it mean for a relation to be symmetric?
💡 Hint: Think about mutual connections.
Give an example of a reflexive relation.
💡 Hint: Self-relationships are key.
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Interactive Quizzes
Quick quizzes to reinforce your learning
Which type of relation includes both (a, b) and (b, a) pairs?
💡 Hint: Think about bidirectional relationships.
True or False: An irreflexive relation contains at least one pair (a, a).
💡 Hint: Consider the definition of irreflexivity.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Create a relation on set S = {1, 2, 3} that is reflexive but neither symmetric nor anti-symmetric.
💡 Hint: Think of adding relationships that contradict those properties.
Given a relation that is symmetric, can you prove it is also reflexive if it includes pairs like (a, a) for some a?
💡 Hint: Visualize the elements involved.
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