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### Grade 8 - Mathematics4.12 Set and Its Complement

 The complement of a set A, is the set of all elements in the universal set U but not in A, and is denoted by Ac and read as "A complement". Example: If U = {1,2,3,5,7} and A = {1,2,3} Then find Ac. Solution: Ac consists of all the elements that are in U not in A. They are 5 and 7. Therefore, Ac = U - A Ac = {1,2,3,5,7} - {1,2,3} = {5,7}. Directions: Solve the following problems. Also write at least five examples of your own.
 Q 1: If U = {3,6,9} and A = {3,6,9} Then find Ac.None of these{}{3,6,9}{3,9} Q 2: If U = {1,2,3,4,5,6,7,8} and A = {2,4,6,8} Then find Ac.{1,3,5,7,8}{1,2,3,4,5,6,7}{1,3,5,7}{1,2,3,4,5,7} Q 3: If U = {5,10,15,20} and A = {10,20,30} Then find Ac.{5,10,15,20}{5,15}{5,15,30}{5,1015} Q 4: If U = {5,10,15,20} and A = {5} Then find Ac.{}{10,20}{10,15,20}None of these Q 5: If U = {2,4,6,8} and A = {4,8,12,16} Then find Ac.{2,6,8,16}{2,4,6,8}{2,6}{2,4,6} Q 6: If U = {7,14,21,28} and A = {14,28} Then find Ac.{7,14,21,28}{7,14,21}{7,21,28}{7,21} Q 7: If U = {2,3,5,7,11} and A = {1,3,5,7} Then find Ac.{2,3,5,7,11}{2,11}{2,7,11}{1,2,3,5,11} Q 8: If U = {3,6,9} and A = {2,4,6} Then find Ac.{3,6,9}{3,9}None of these{2,4,6,9} Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!