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

$D e t e r m i n e w e t h e r t h e r e l a t i o n o n t h e$ $s e t R o f a l l r e a l n u m b e r a s$ $R = {(a, b) : a, b \in R a n d a - b + \sqrt{3} \in s$ $w h e r e s i s t h e s e t o f a l l i r r a t i o n a l n o)$ $i s r e f l e x i v e, s y m m e t r i c a n d t r a n s i t i v e ?$
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