what is universal set?
Answers
Answer:
the set containing all objects or elements and of which all other sets are subsets
☞What is universal set?
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➢ A universal set is a set which contains all the elements or objects of other sets, including its own elements. It is usually denoted by the symbol ‘U’.
➢ Example: Let us say, there are three sets named as A, B and C. The elements of all sets A, B and C is defined as;
A={1,3,6,8}
B={2,3,4,5}
C={5,8,9}
Find the universal set for all the three sets A, B and C.
Answer: By the definition we know, the universal set includes all the elements of the given sets. Therefore, Universal set for sets A, B and C will be,
U={1,2,3,4,5,6,8,9}
Explanation: From the above example, we can see that the elements of sets A, B and C are altogether available in Universal set ‘U’. Also, if you observe, no elements in the universal set are repeated and all the elements are unique.
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