2. Let A, B, C be sets. Complete one part of the proof of the following statement. (B nc) = (A B) u (A C) Proof: By the definition of complement, If is the negation symbol, then By the definition of intersection, x 4Brnc. Since the negation of conjunction of statements is disjunction of their negations, which is equivalent to Then by the distributivity law, By the definition of complement, and by the definition of union, Thus, we have proved that 13 v xeA c,