Consider the binary relation R = {(x, y), (x, z), (z, x), (z, y)} on the set…

GATE · 2009 · CS

Consider the binary relation R = {(x, y), (x, z), (z, x), (z, y)} on the set {x, y, z}. Which one of the following is TRUE?

  1. A.

    R is symmetric but NOT antisymmetric

  2. B.

    R is NOT symmetric but antisymmetric

  3. C.

    R is both symmetric and antisymmetric

  4. D.

    R is neither symmetric nor antisymmetric

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