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Matriculation Level Mathematics  Set Theory1. Given A={0,1,3,5}, B={1,2,4,7}, C={1,2,3,5,8}, prove that b) c) 2.If A = {1,2,3}, B={1,3,5}, C={2,3,4,6}, find a) b) c) d) e) . 3. Write down all the subsets of A={a,b,c,d} 4.Wrtie down the following sets in setbuilder form: a) The set A of all months in a year. b) The set B of all English alphabets c) C = {3, 6, 9, ............} d) D = {1, 3, 5, ............} 5. Given U={1,2,3,4,5,6,7}, A={1,2,3,4,5}, B={1,3,5,7}, C={2,5,6,7}, find a) C  B b) 6.If U = {1,2,3,4,5,6,7,8,9,10}, A={1,2,3,5,6,7,9}, B={2,4,5,6,8,10}, prove that a) b) 7. Let A = {a,b,c} and B = {1,2}, find and and show that . 8. Let A = {1,2,3,4,5}, B = {3,4,5,6,7}, C = {1,3,5,6,7,8} show that a) b) 9. In a city, three daily newspapers A, B, and C are published.42% of the people in that city read A, 51% read B, 68% read C, 30% read both A and B, 28% read both B and C and 36% read both A and C. 8% of the people do not read any of the three newspapers. Find the percentage pf persons who read all the three news papers. Character is who you are when no one is looking. 