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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a partition of the set {1, 2, 3, 4}.
💡 Hint: Think about the groups that can be formed without overlap.
Question 2
Easy
List two properties of a partition.
💡 Hint: Recall the definition of a partition.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is a partition?
- A collection of overlapping subsets
- A collection of non-empty disjoint subsets
- A single set only
💡 Hint: Remember the definition of a partition.
Question 2
Do equivalence classes overlap?
- True
- False
💡 Hint: Think about the properties of sets in a partition.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given set D = {1, 2, 3, 4, 5}, partition D into four subsets. Construct an equivalence relation from this partition.
💡 Hint: For each subset in the partition, create the relations as described in the lesson.
Question 2
Imagine a relation R partitions a set E into {A, B, C, D}. Provide examples of what the subsets might look like and prove they form equivalence classes.
💡 Hint: Draw diagrams to visualize the partitions and equivalence classes.
Challenge and get performance evaluation