Suppose you are given a relation R(A, B, C, D, E) with the following functional dependencies: BDE, AC. a. Show that the decomposition into R1(A,B,C) and R2(D,E) is lossy. b. Find a single dependency from a single attribute X to another attribute Y such that when you add the dependency XY to the above dependencies, the decomposition in part a is no longer lossy.