Mathematics, 30.11.2019 03:31 bubbaforbes2005
Give the smallest equivalence relation r on a containing the pairs (a, c), (a, e), and (b, d) (i. e., the equivalence relation r containing the given pairs with the fewest number of elements). what are the equivalence classes of your relation r from part i? let s be the relation on the set of integers such that xsy if and only if x2 β‘2 y2. in other words, s = { (x, y) β z Γ z | x2 β‘2 y2 }. show that s is an equivalence relation. what are the equivalence classes of s?
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