determining whether a binary relation of a power set is reflexive, symmetric and transitive

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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?

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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.