Let a relation R be defined by

$R = {(4, 5), (1, 4), (4, 6), (7, 6), (3, 7)}$ then find $R o R$

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Solution

Given $R = {(4, 5), (1, 4), (4, 6), (7, 6), (3, 7)}$

$(1, 4) ϵ R, (4, 5) ϵ R$
$∴ (1, 5) ϵ R o R$

Similarly $(3, 6)$ and $(1, 6)$ $ϵ R O R .$
$∴ R o R = {(1, 5), (3, 6), (1, 6)} .$

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