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Question
If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 2, 3, 5}, B = {2, 4, 6, 7} and C = {2, 3, 4, 8}. Then (C – A)′ is ______.
Solution
If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 2, 3, 5}, B = {2, 4, 6, 7} and C = {2, 3, 4, 8}. Then (C – A)′ is {1, 2, 3, 5, 6, 7, 9, 10}.
Explanation:
Given: U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
A = {1, 2, 3, 5}, B = {2, 4, 6, 7}
And C = {2, 3, 4, 8}
To find: (B ∪ C)′ and (C – A)′
Formula used:
The union of two sets is a set containing all elements that are in both sets.
For example: {1, 2, 3} ∪ {2, 4} = {1, 2, 3, 4}
A = {1, 2, 3} and C = {2, 3, 4, 8}
C – A = {4, 8}
(C – A)’ = U – (C – A)
= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} – {4, 8}
= {1, 2, 3, 5, 6, 7, 9, 10}
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