Consider the binary relation: S = {(x, y) | y = x+1 and x, y ∈ {0, 1, 2, ...}}…

GATE · 2004 · CS

Consider the binary relation:

S = {(x, y) | y = x+1 and x, y ∈ {0, 1, 2, ...}}

The reflexive transitive closure of S is

  1. A.

    {(x, y) | y > x and x, y ∈ {0, 1, 2, ... }}

  2. B.

    {(x, y) | y ≥ x and x, y ∈ {0, 1, 2, ... }}

  3. C.

    {(x, y) | y < x and x, y ∈ {0, 1, 2, ... }}

  4. D.

    {(x, y) | y ≤ x and x, y ∈ {0, 1, 2, ... }}

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