11 IFA'U B = U, show by using laws of algebra of sets that ACB, where A'
denotes the complement of A and U is the universal set.
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Answer:
In complement of a set if ξ be the universal set and A a subset of ξ, then the complement of A is the set of all elements of ξ which are not the elements of A.
Symbolically, we denote the complement of A with respect to ξ as A’.
For Example; If ξ = {1, 2, 3, 4, 5, 6, 7}
A = {1, 3, 7} find A'.
Solution:
We observe that 2, 4, 5, 6 are the only elements of ξ which do not belong to A.
Therefore, A' = {2, 4, 5, 6}
Step-by-step explanation:
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