Mathematics
Let U = {5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16} be the universal set and let A = {5, 7, 11, 13}, B = {6, 8, 10, 12, 14, 16} and C = {5, 6, 8, 10, 11, 12} be its subsets.
Find:
(i) A'
(ii) B'
(iii) C'
Sets
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Answer
(i) A'
Universal Set (U) = {5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16}
Set A = {5, 7, 11, 13}
Remove 5, 7, 11, and 13 from U.
A' = {6, 8, 9, 10, 12, 14, 15, 16}
(ii) B'
Universal Set (U) = {5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16}
B = {6, 8, 10, 12, 14, 16}
Remove 6, 8, 10, 12, 14, and 16 from U.
B' = {5, 7, 9, 11, 13, 15}
(iii) C'
Universal Set (U) = {5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16}
C = {5, 6, 8, 10, 11, 12}
Remove 5, 6, 8, 10, 11, and 12 from U.
C' = {7, 9, 13, 14, 15, 16}
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