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-

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 ?