Sets and Relations question bank (Maths)

Consider the relation R on the set $\{-2,-1,0,1,2\}$ defined by $(a, b) \in R$ if and only if $1+ab \gt 0$. Then, among the statements:
I. The number of elements in R is 17
II. R is an equivalence relation

Let $R = \{(x, y) \in \mathbb{N} \times \mathbb{N} : \log_e(x + y) \leq 2\}$. Then the minimum number of elements, required to be added in $R$ to make it a transitive relation, is __________.