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Relations and Functions: Equivalence Classes (Example 1) - Part 1

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Relations and Functions: Equivalence Classes (Example 1) - Part 1

In this video, we provide a definition of an equivalence class associated with an equivalence relation. In particular, we provide an example of an equivalence relation and that the collection of equivalence classes forms a partition of the set the relation was constructed from.

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Equivalence Class Examples

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An equivalence relation R in A divides it into equivalence classes A1

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Let a = {X ∈ Z : 0 ≤ X ≤ 12}. Show That R = {(A, B) : A, B ∈ A, |A – B| is Divisible by 4}Is an Equivalence Relation. Find the Set of All Elements Related to 1. Also Write the Equivalence Class [2] - Mathematics | Shaalaa.com

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