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