Let $A=\{1,2,\{2\},c,\{c,e\}\}$

Consider the following relation on $A$ :

$R=\{(1,1),(1,\{2\}),(1,\{c,e\}),(\{2\},1),(\{2\},\{2\}),(\{2\},\{c,e\}),(\{c,e\},\{2\})\}.$

Which one of the following statements regarding the relation $R$ is TRUE?

Select one:

a$.R$ is irreflexive, transitive and symmetric.

b$.R$ is neither reflexive nor irreflexive, and is transitive and not symmetric.

c$.R$ is neither reflexive nor irreflexive, and is not transitive and not symmetric.

d$.R$ is reflexive, transitive and anti$-$symmetric.