Consider the relations R$1$

$,$ R$2$

$,$ R$3$

$,$ R$4$

$,$ R$5$

on A$=\{1,2,3,4\}$

defined by

R$1=\{(1,2),(2,1)\}$

R$2=\{(2,2),(2,3),(2,4),(3,2),(3,3),(3,4)\}$

R$3=\{(1,1),(1,2),(2,1),(2,2),(3,3),(4,4)\}$

R$4=\{(1,2),(2,3),(3,4)\}$

R$5=\{(1,1),(2,2),(3,3),(4,4)\}$

Determine which of the following statements are true. Select all that apply.

A$.$ R$3$

is reflexive.

B$.$ R$2$

is not symmetric.

C$.$ R$4$

is symmetric.

D$.$ R$3$

is not transitive.

E$.$ R$4$

is transitive.

F$.$ R$1$

is transitive.

G$.$ R$5$

is transitive.

H$.$ R$1$

is symmetric.

I. R$1$

is reflexive.

J$.$ R$2$

is reflexive.

K$.$ R$5$

is not reflexive.

L$.$ None of the above