Problem 7 Let R(A, B, C, D, E) be decomposed into relations with the following sets of attributes: (A, B, C), (B, C, D), and (A, C, E. For the following set of FD's, use the chase test to tell whether the decomposition of R is lossless. B-, E and CE A a) (5 points) b) For the same set of FD's, are the dependencies preserved by the decomposition? Justify your answer. (3 points)