Given the Venn diagram above, write the expression modeled by the union of the region that is shaded red and the region shaded dark blue. (Do not simplify.) 1. 2. Given the expression: [ Bc (A n Bc) c C ]c a. Simplify the expression: give step by step reasons for each simplification step you take, using the rules listed in section 4.6 in your text book b. Draw a Venn diagram and then shade the simplified region. 3. Given the following sets: A fa,b,c,d), B (d,e, C (c, d,e); U- fa,b,c,d,e,f,gh a. Use set notation: List the elements in the set B U C b. Use set notation: List the elements in the set A n (B U C) c. Use set notation: List all possible subsets of A. d. Are A and C disjoint?Explain why or why not. e. is B a subset of A? Explain why or why not