Consider the relation R on R defined by xRy if and only if x 2 x 1 y 2 y 1 Prove that R is an equivalence relation Describe the equivalence classes 1 , 1 2 , 2

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Question: Consider the relation R on R defined by xRy if and only if x 2 x+ 1 =y 2 y+ 1. Prove that R is

Consider the relation R on R defined by xRy if and only if x²x+ 1 =y²y+ 1. Prove that R is an equivalence relation. Describe the equivalence classes [1], [1/2], [2].

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