Q2 [1 pt]: Let R(A,B,C,D,E) be decomposed into relations with the following three sets of attributes: A,B,C), B,C,D;, and {A,C,E) For each of the following sets of FD's, use the chase test to tell whether the decomposition of R is loosless. For those that are not loosless, give an example of an instance of R that returns more than R when projected onto the decomposed relations and rejoinesd: b)AC E and BC-)D c)AD,DE, and E D d) A D, CD E, and E D