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4 cards from this section. Quick, good the night before a test.
Define a partition of the set {1, 2, 3, 4}.
Think about the groups that can be formed without overlap.
List two properties of a partition.
Recall the definition of a partition.
What is a partition?
Remember the definition of a partition.
Do equivalence classes overlap?
Think about the properties of sets in a partition.
Given set D = {1, 2, 3, 4, 5}, partition D into four subsets. Construct an equivalence relation from this partition.
For each subset in the partition, create the relations as described in the lesson.
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.
Draw diagrams to visualize the partitions and equivalence classes.
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