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### High School Mathematics7.6 Complement of Sets

 The complement of a set A is the set of all elements in the universal set m and is denoted by Ac or A'. Example: If m = {1,2,3,4,5,6,7,8,9,10} and A = {1,3,5,7,9}, then find A'. Solution: The complement of A = m - A That is, = {1,2,3,4,5,6,7,8,9,10} - {1,3,5,7,9} A' = {2,4,6,8,10}. Directions: Solve the following problems. Also write at least 5 examples of your own.
 Q 1: If m = {1,2,3,4,5,6,7,8,9,10}, A = {2,4,6,8,10} and B = {1,3,5,7,9} then check the statement (A È B)' = A' Ç B'.CorrectNot correct Q 2: If m = {1,2,3,4,5,6,7,8,9,10}, A = {2,4,6,8,10} and B = {1,3,5,7,9} then find A' È B'.{1,3,5,7,9}{1,2,3,4,5,6,7,8,9,10}{2,4,6,8,10}{} Q 3: If m = {1,2,3,4,5,6,7,8,9,10}, A = {2,4,6,8,10} and B = {1,3,5,7,9} then find (AÈB)'.{2,4,6,8,10}{1,2,3,4,5,6,7,8,9,10}{1,3,5,7,9}{} Q 4: If m = {1,2,3,4,5,6,7,8,9,10} and A = {2,4,6,8,10}, then find A'.{2,4,6,8,10}{}{1,3,5,7,9} Q 5: If m = {1,2,3,4,5,6,7,8,9,10} and A = {1,3,5,7,9}, then find A'.{}{2,4,6,8,10}{1,3,5,7,9} Q 6: If m = {1,2,3,4,5,6,7,8,9,10}, A = {2,4,6,8,10} and B = {1,3,5,7,9} then check the statement (A Ç B)' = A' È B'.Not correctCorrect Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!