Question

If R means "is greater than" in N={1, 2,3,....}, show that R is neither reflexive nor symmetric, but it is a transitive relation. ​

Answer 1

It's not reflexive, because no real number is greater than itself - $a\not>a$

It's not symmetric, because if $a>b$ then $b\not >a$.

It's transitive, because if $a>b$ and $b>c$ then $a>c$.