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Universal Set

In set theory, all the sets under consideration are likely to be subsets of a fixed set. This fixed set is called the universal set. We usually denote the universal set by U.

Let U be the universal set of all natural numbers. Let A be the subset of U which consists of prime numbers, then A = {2, 3, 5, 7,..}. If we consider the set of even numbers, E = {2, 4, 6, 8,...} then U is the universal set.

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