If the statement is true, prove it; otherwise, give a counter example.
The sets of X,Y,Z are subsets of a universal set U. Assume that the universe for Cartesian Products is U\times U.
35. $\overline{Y}\setminus X = X \cup \overline{Y}$ for all sets X and Y
31. $X \setminus (Y \cup Z) = (X \setminus Y) \cup Z$ for all sets X,Y, and Z
38. $\overline{X} \setminus \overline{Y} = \overline{Y} \setminus \overline{X}$ for all sets X and Y