Sets and Relations

Question

Consider the following two binary relations on the set A = {a, b, c} :

R₁ = {(c, a), (b, b), (a, c), (c, c), (b, c), (a, a)} and

R₂ = {(a, b), (b, a), (c, c), (c, a), (a, a), (b, b), (a, c)}.

Then :

Accepted Answer

Option C. Here both R₁ and R₂ are symmetric as for any (x, y) … R₁, we have (y, x) … R₁ and similarly for any (x, y) … R₂, we have (y, x) … R₂

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