The expressions A\(BUC) = (A \ B) n (A\C), A\(BNC) = (A\B) U (A\C) are known as De Morgan's Laws. They express a very useful relation between sets. Justify both of these laws with clearly labeled Venn diagrams. (You should have a Venn diagram for the l.h.s. and the r.h.s. of each expression)