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An equivalence relation R on the set S = {1, 2, 3, 4, 5, 6} results in three distinct

Chapter 5, Problem 5

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QUESTION:

An equivalence relation R on the set S = {1, 2, 3, 4, 5, 6} results in three distinct equivalence classes. Given that (a) 3 [4] [5], (b) [2] [6] = and (c) 1 [3], what is R?

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QUESTION:

An equivalence relation R on the set S = {1, 2, 3, 4, 5, 6} results in three distinct equivalence classes. Given that (a) 3 [4] [5], (b) [2] [6] = and (c) 1 [3], what is R?

ANSWER:

Step 1 of 3

An equivalence relation is when relation R is reflexive, transitive, and symmetric. There is a set S and a relation R equivalence class of a is as :

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