Please ignore the red asterisk.
I believe that it is reflexive when mapping out single elements within the power set, each single element will be related to itself.
I believe that it is symmetric since the parameter |A ∩ B| ≥ 2 has been stated, if there was no parameter I don't think that it would be symmetric.
I also believe that R is an equivalence relation since it holds the entire power set ranging from 1 to 50, so if I were to map it out everything would be related to everything.
Am I on the right track?

The relation is not reflexive because {1}R{1}
is not possible since it has only one element.
Clearly it is symmetric.
It is not transitive. Create an example that shows it isn't.