Question: (30 points) Given any sets C and Y1, Y2, ... Yn and the laws of set theory discussed in class and your text book. Show

(30 points) Given any sets C and Y1, Y2, ... Yn

(30 points) Given any sets C and Y1, Y2, ... Yn and the laws of set theory discussed in class and your text book. Show that: (a) (10 points) C\(Yin Y2) = (C\Y) U(C\Y). Use a direct proof. (b) (20 points) C\(Yin Y2 n. n Yn) = (C\Y1) U(C\Y2) U... U(C\Yn). Use a proof by mathematical induction (you can use your solution from part a as the base case)

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