Determine-wether-the-relation-on-the-set-R-of-all-real-number-as-R-a-b-a-b-R-and-a-b-3-s-where-s-is-the-set-of-all-irrational-no-is-reflexive-symmetric-and-transitive-

Tinku Tara June 4, 2023 Trigonometry 0 Comments

Question Number 32164 by jarjum last updated on 20/Mar/18

Determine wether the relation on the set R of all real number as R={(a,b):a,b∈R and a−b +(√3) ∈ s where s is the set of all irrational no) is reflexive, symmetric and transitive?

$${Determine}\:{wether}\:{the}\:{relation}\:{on}\:{the} \\ $$$${set}\:{R}\:{of}\:{all}\:{real}\:{number}\:{as} \\ $$$${R}=\left\{\left({a},{b}\right):{a},{b}\in{R}\:{and}\:{a}−{b}\:+\sqrt{\mathrm{3}}\:\in\:{s}\:\right. \\ $$$$\left.{where}\:{s}\:{is}\:{the}\:{set}\:{of}\:{all}\:{irrational}\:{no}\right) \\ $$$${is}\:{reflexive},\:{symmetric}\:{and}\:{transitive}? \\ $$

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Determine-wether-the-relation-on-the-set-R-of-all-real-number-as-R-a-b-a-b-R-and-a-b-3-s-where-s-is-the-set-of-all-irrational-no-is-reflexive-symmetric-and-transitive-

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