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Read the statements below and pick the correct ones:

  1. $R$ is symmetric if $R == R-1$
  2. $R$ on a set $A$ is anti symmetric if and only if $R \cap R-1$ is the subset of diagonal relation.
  3. If $R$ is reflexive and transitive then $R_n = R$ for all positive $n$.
  4. $\{ xRy : \mid x-y \mid < a \}$ is not a transitive relation where $x$ and $y$ are real numbers and a is a positive constant.
  1.   I,II are correct.
  2.   I,II,III are correct.
  3.   I,III,IV are correct.
  4.   All are correct.
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