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Show That the Relation R={(x,y)∣x−y is an integer }R = \{ ( x , y ) \mid x - y \text { is an integer } \}

Question 10

Essay

Show that the relation R={(x,y)∣x−y is an integer }R = \{ ( x , y ) \mid x - y \text { is an integer } \} is an equivalence relation on the set of rational numbers. What are the equivalence classes of 0 and 12 ?

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Since blured image is an integer for every rational ...

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