What is Universal set and Subset ?

Universal set:

A universal set is a set which has elements of all the related sets, without any repetition of elements.

It is denoted by U.

If A and B are two sets, such as A = {1,2,3,4,5} and B = {4,5,6,7,8}, then the universal set associated with these two sets is given by U = {1,2,3,4,5,6,7,8}.

Subset of a set:

A set A is a subset of another set B if all elements of the set A are elements of the set B. In other words, the set A is contained inside the set B. The subset relationship is denoted as A⊂B.

If A and B are two sets, such as A = {1,2,3} and B = {1,2,3,4,5,6}, all the elements of A are also in the set B. Therefore, set A is a subset of set B.

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Updated on: 10-Oct-2022

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