# UNION OF SETS

Union is one of the important operations on sets which can be used to combine two or more sets to form another set.

Let us discuss this operation in detail.

Let X and Y be two sets.

Now, we can define the following new set.

X u Y  =  {z | z ∈ X or z ∈ Y}

(That is, z may be in X or in Y or in both X and Y)

X u Y is read as "X union Y"

Now that X u Y contains all the elements of X and all the elements of Y and the figure given below illustrates this. It is clear that X ⊆ X u Y and also Y ⊆ X u Y

Example :

Let A  =  {1, 3, 5, 6}, B  =  {0, 5, 6, 7}, find A u B.

Solution :

A u B  =  {1, 3, 5, 6} u {0, 5, 6, 7}

A u B  =  {0, 1, 3, 5, 6, 7}

## Related Pages

2. Set difference

3. Symmetric difference of two sets

4. Complement of a set

5. Disjoint sets Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here. Kindly mail your feedback to v4formath@gmail.com

## Recent Articles 1. ### Word Problems Involving Linear Equations

Aug 14, 22 09:31 PM

Word Problems Involving Linear Equations

2. ### Solving System of Linear Equations Word Problems Worksheet

Aug 14, 22 09:17 PM

Solving System of Linear Equations Word Problems Worksheet