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Question
U = {1, 2, 3, 7, 8, 9, 10, 11, 12}
P = {1, 3, 7, 10} then
- show the sets U, P and P' by the Venn diagram.
- Verify (P')' = P
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Solution
(i) We have, U = {1, 2, 3, 7, 8, 9, 10, 11, 12} and P = {1, 3, 7, 10}
P' = U - P = {2, 8, 9, 11, 12}
(ii) U = {1, 2, 3, 7, 8, 9, 10, 11, 12} and P = {1, 3, 7, 10}
P' = {2, 8, 9, 11, 12}
∴ (P')' = U - P' = {1, 3, 7, 10}
∴ (P')' = P
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