Archangel Macsika
Show the following operations on set(s)- Complement of a set Symmetric difference of two sets
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Let, U = {1,2,3......,10}
A = {1,3,5,7,9}
B = {2,3,4,5,6}
A' (the complement of the set A) = U - A = {2, 4, 6, 8, 10}
B' (the complement of the set B) = U - B = {1, 7, 8, 9, 10}
A △ B (the symmetric difference) = (A - B) U (B-A) = {1, 7, 9} U {2, 4, 6} = {1, 2, 4, 6, 7, 9}