Answer to Question #35760 in Discrete Mathematics for Ibrahim Ampong Akesse

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.