Question

what are universal sets?​

Answer 1

Answer:

"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’.

Suppose Set A consists of all even numbers such that, A = {2, 4, 6, 8, 10, …} and set B consists of all odd numbers, such that, B = {1, 3, 5, 7, 9, …}. The universal set U consists of all natural numbers, such that, U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10,….}. Therefore, as we know, all the even and odd numbers are a part of natural numbers. Therefore, Set U has all the elements of Set A and Set B.

There is no formula to find the universal set, we just have to represent all the elements in a single which is collectively called a universal set.

Fact: There is no standard notation for Universal set symbol, it can also be denoted by any other entity like ‘V’ or ‘ξ’."

Answer 2

Answer:

Any set which contains all the elements of various sets under consideration is called a universal set.