The relation $R$ defined by $\text{'}>\text{'}$ on the set $N$ is

 

$2 > 2$ so $>$ is not reflexive, $3 > 2$ but $2⪇ 3$

so $(3, 2)$ $\in$ $R$ but$(2, 3)$$\notin$ $R.$ Thus$R$ is not symmetric. If

$(a, b) \in R$ and$(b, c) \in R$ then $a > b, b > c$ fi $a$ > c so$(a, c)$

$\in R. R$ is not an equivalence relation