Answer to Question #35646 in Discrete Mathematics for nana

Question

A binary relation on a set that is reflexive and symmetric is called a compatible relation.Let A be a set.A cover of A is a set of non empty subsets of A,say { A_(1,) A_2,A_3……A_n} such that union of A_i's is equal to A.Suggest a way to define a compatible relation on A from a cover of A.