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Question Number 100295 by hardylanes last updated on 26/Jun/20

a relation R is defined on the set of real  numbers by xRy if and only if x−y is a   multiple of 3. show that R is transitive

$${a}\:{relation}\:{R}\:{is}\:{defined}\:{on}\:{the}\:{set}\:{of}\:{real} \\ $$$${numbers}\:{by}\:{xRy}\:{if}\:{and}\:{only}\:{if}\:{x}−{y}\:{is}\:{a}\: \\ $$$${multiple}\:{of}\:\mathrm{3}.\:{show}\:{that}\:{R}\:{is}\:{transitive} \\ $$

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