Practice - Construction of the Equivalence Relation
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Practice Questions
Test your understanding with targeted questions
What is a partition of a set?
💡 Hint: Think of how a pizza can be cut into slices.
Does a partition of a set have overlapping subsets?
💡 Hint: Consider how two different states cannot overlap.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is an equivalence relation?
💡 Hint: Recall the properties we discussed.
True or False: A partition can have overlapping subsets.
💡 Hint: Think of how subsets cannot share elements.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Construct a partition of the set {1, 2, 3, 4, 5} into subsets of size two.
💡 Hint: Think about how you can pair up elements.
Prove that the equivalence classes of an equivalence relation form a partition.
💡 Hint: Use the properties of equivalence relations in your proof.
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