I am supposed to determine the set A where A interection B is empty and A intersection B^c is also empty.

Since those two intersections are supposed to be empty that means that the set A can be made up of all elements that's not found in B but I'm wondering how to write and express it more gracefully.

I'm not sure if this is correct syntax but but this is what I've come up with ∀ x∈ A ^,∀ x∉B