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Let X={1,2,3,4,5,6,7,8,9}. Let R be a re...

Let `X={1,2,3,4,5,6,7,8,9}.` Let R be a relation in `X` given by `R_1={(x,y):x-y` is divisible by `3}` and `R_2` another on `X` given by `R={(x,y):(x,y)uu{1,4,7}} or {x,y} uu {2,5,8} or {x,y} uu {3,6,9}}` Show that `R_1=R_2.`

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Let X={1,2,3,4,5,6,7,8,9} . Let R_1 be a relation in X given by R_1 ={(x, y): x-y is divisible by 3} and R_2 be another relation on X given by R_2={(x, y):{x ,y} sub{1,4,7} or {x, y} sub {2,5,8} or . {x, y}sub {3,6,9}} . Show that R_1=R_2

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