# SOLUTION: If A = {1,3,5,7,9}, B = {1,5,6,7} and C = {1,2,4,6,8,9} find: i) A U B ii) the complement of (A U B) iii) the intersection of B and C iv) find n(A U B) v) list

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 Algebra: Probability and statistics Solvers Lessons Answers archive Quiz In Depth

 Question 168799: If A = {1,3,5,7,9}, B = {1,5,6,7} and C = {1,2,4,6,8,9} find: i) A U B ii) the complement of (A U B) iii) the intersection of B and C iv) find n(A U B) v) list all the subsets of B Answer by Edwin McCravy(8909)   (Show Source): You can put this solution on YOUR website!``` If A = {1,3,5,7,9}, B = {1,5,6,7} and C = {1,2,4,6,8,9} find: i) A U B That mean to list all numbers that are either in A, in B, or in both. So A U B = {1,3,5,6,7,9}, for they are in A, B or both. ii) the complement of (A U B) That means to list all the numbers that are listed in one of the sets above but which are NOT in A U B, which we just found in i): Complement of A U B is {2,4,8}, for these are the ones not in A U B iii) the intersection of B and C This means to list ONLY the ones that are in BOTH B and C Intersection of B and C = {1,6} iv) find n(A U B) That means to count the elements in A U B. There are 6. v) list all the subsets of B B = {1,5,6,7} There is just one subset with no members, the empty set, or There are four subsets with just one member: {1}, {5}, {6}, {7} There are six subsets with two members: {1,5), (1,6), (1,7}, {5,6}, {5,7}, {6,7} There are four subsets with three members: (1,5,6), (1,5,7}, {1,6,7}, {5,6,7} There is just one subset with four members, namely the whole set A: {1,5,6,7} So altogether there are 1+4+6+4+1 or 16 subsets of {1,5,6,7}. Edwin```