Practice - Part E: Reflexive and Symmetric Relations
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Practice Questions
Test your understanding with targeted questions
Define a reflexive relation.
💡 Hint: Think about pairs like (a, a).
Give an example of a symmetric relation.
💡 Hint: Consider relationships that involve mutuality.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What defines a reflexive relation?
💡 Hint: Look for (a, a) pairs in the definition.
Is the relation 'is taller than' symmetric?
💡 Hint: Consider examples of height comparisons.
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Challenge Problems
Push your limits with advanced challenges
Given a relation on set A = {x, y, z}, determine if the relation is reflexive, symmetric, or both.
💡 Hint: Write down the elements and examine all conditions.
Create a relation that is both reflexive and symmetric from a four-element set.
💡 Hint: Start with the basics of reflexivity.
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