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SOLVED: Question 4(a) Let A B and C be subsets of a universal set U and consider the two sets X = (AU B) (BnC) and Y = (AUB) (BUC) Draw a labelled Venn diagram depicting the sets A,B and C in such a way that they divide U into 8 disjoint regions and shade the region corresponding to the set X on this diagram. Draw a second labelled Venn diagram and shade the region corresponding to the set Y on this diagram [3 marks] (b) Let X and Y be the two sets defined in part (a). Justifying your answer; sa
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Let A, B, and C be subsets of some universal set U (a) Draw two general Venn diagrams for the sets A, B, and C . On one, shade the region that represents A-(B-C), and on the other, shade the region that represents (A-B)-C . Based on the Venn diagrams, make a conjecture about the relationship between the sets A-(B-C) and (A-B)-C . (Are the two sets equal? If not, is one of the sets a subset of the other set?) (b) Prove the conjecture from Exercise (7a). | Numerade
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