Hi please use the given information to answer each part of the problem and please include a short explanation, drawing, or steps to improve my understanding of the problem. Thank you!

Venn Diagrams. Let F and G be subsets of a universal set 2. Define the set difference as F-G = FnGc and the symmetric difference as FAG = (Fn Go) U (Gn Fc). Use Venn diagrams to verify each of the following statements. Note that (a) FUG = FU(G - F). (b) F = (F - G)U(FnG). (c) Write FUG as the union of three disjoint sets. Hint: Use the previous two parts. (d) FOG = (FUG) - (FAG). (e) FAG C (FAH) U (HAG)