# Union of sets explained with example

Learn what is union of sets? And learn how to find out the union for the given sets. This topic is very important in the set theory chapter and easy also. So before moving to our main concept first we will learn what is a set and also basic things about it. What is the meaning of a set? A set is nothing but collection of some distinct things/objects. Objects in the set are called as “elements of a set”. Elements of a set are generally represented by the small letters. While a set is always represented with the capital letter only. Now let’s go to the topic union of sets. With an example I will try to explain it clearly. So go through the below example and learn how to find union of sets.

## Procedure to find union of sets:

Let us consider any two sets (not only two any number of sets we can take). Here am considering the two sets P and Q. sets P and Q elements are given below.

P ={ 1, 3, 5, 10, 14, 17, 23, 27, 29, 30, 31, 42}

Q = { 5, 10, 11, 23, 25, 28, 30, 33, 39, 45, 49, 54}

P union Q is a set which contains all the elements of either P or either Q or both sets P and Q. P union Q is denoted by P ∪ Q, “∪ ” -this symbol stands for union.

Therefore,

P ∪ Q = { 1, 3, 5, 10, 11, 14, 17, 23, 25, 27, 28, 29, 30, 31, 33, 39, 42, 45, 49, 54}

It is clear that the union of the sets P and Q have the elements of both the sets P and Q. I hope you understood how to find the union of sets. Any doubts let me know. 