if the universal set U= { 1,2,3,4,5,6} and H= (3,4,6), then H'=
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Answer: H'={1,4,6}
Step-by-step explanation:
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Given: U = {1,2,3,4,5,6}
H = {3,4,6}
To find: H'
Solution: U denotes an universal set. The universal set is a set which consists of all the elements or objects, including its own elements.
Here, H is a subset of U which has some of the elements of U, but not all.
H' means the complement of set H. The complement of set H is defined as a set that contains the elements present in the universal set U but not in set H.
Hence, the elements not present in H as compared to the universal set U are 1, 2 and 5.
Therefore, H' = {1,2,5}.
Answer: {1,2,5}
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