Practice - Introduction to Tutorial 4: Part I
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Practice Questions
Test your understanding with targeted questions
List the three properties of equivalence relations.
💡 Hint: Think about what it means for a relation to be an equivalence.
True or False? The union of two equivalence relations is always an equivalence relation.
💡 Hint: Consider if the union could ever lose transitivity.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What are the three properties required for a relation to be an equivalence relation?
💡 Hint: Think about the definitions we've discussed.
True or False? The intersection of two equivalence relations is always an equivalence relation.
💡 Hint: Consider how the properties overlap.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Define a custom set and create two distinct equivalence relations on it. Analyze and demonstrate their union and intersection.
💡 Hint: Work through constructing the relations step by step.
Prove that the union of two equivalence relations forms a new relation that does not alter the existing reflexive pairs.
💡 Hint: Check the properties of union through individual reflexive elements.
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