Problem 3. [15 points] Consider the attribute set (i.e., table with those attributes) R = ABCDEGH and the FD set F = {AB C, A BE, AD E, A D, BC A, E G}. (a) Find the minimal cover for F [10 points]. (b) For the following decomposed table with attribute set X=ABCEG, find the set of dependencies that hold over the set X, i.e., what is the projection of F onto X [5 points].