# SOLUTION: Given U = {1,2,3,4,5,6,7,8,9,10}, A ={1,2,3}, and B = {3,6,9}, find the complement of A U B. A. 3 B. {4,5,7,8,10} C. {1,2,4,5,6,7,8,9,10} D. {1,2,3,4,5,6,7,8,9,10}

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Misc -> SOLUTION: Given U = {1,2,3,4,5,6,7,8,9,10}, A ={1,2,3}, and B = {3,6,9}, find the complement of A U B. A. 3 B. {4,5,7,8,10} C. {1,2,4,5,6,7,8,9,10} D. {1,2,3,4,5,6,7,8,9,10}       Log On

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 Question 29712: Given U = {1,2,3,4,5,6,7,8,9,10}, A ={1,2,3}, and B = {3,6,9}, find the complement of A U B. A. 3 B. {4,5,7,8,10} C. {1,2,4,5,6,7,8,9,10} D. {1,2,3,4,5,6,7,8,9,10} Answer by sdmmadam@yahoo.com(530)   (Show Source): You can put this solution on YOUR website!Given U = {1,2,3,4,5,6,7,8,9,10}, A ={1,2,3}, and B = {3,6,9}, find the complement of A U B. U = {1,2,3,4,5,6,7,8,9,10}, A ={1,2,3}, and B = {3,6,9} A U B is made of all elements of A and all elements of B (one element taken only once) Therefore A U B = {1,2,36,9} The complemnet of A U B in U means the set of all those elements of U after removing the elements of AUB from U complement of A U B = {4,5,7,8,10} which is your choice B. What is the verification? The UNION of the complement of a set in U and the set should give the whole set U back. Ofcourse the answer set(that is the complement set) and the set (AUB) give their union equal to U itself . [complement of A U B]U(AUB) = {4,5,7,8,10}U {1,2,36,9} ={1,2,3,4,5,6,7,8,9,10} =U