# What are Disjoint Sets – Venn Diagram and Examples

Here you will learn what are disjoint sets in set theory with venn diagram and examples.

Let’s begin –

## What are Disjoint Sets ?

Definition : Two set A and B are said to be disjoint, if $$A \cap B$$ = $$\phi$$.

If $$A \cap B$$ $$\ne$$ $$\phi$$, then A and B are said to be intersecting or overlapping sets.

Also Read : Formulas and Operation of Sets

## Venn Diagram of Disjoint Set

Example : If A = {1, 2, 3, 4, 5, 6}, B = {7, 8, 9, 10, 11} and C = {6, 8, 10, 12, 14}. Then find which of the following two set are disjoint.

Solution : We have sets A, B and C,

Taking intersection of set A and B,

$$A \cap B$$ = $$\phi$$

Hence, A and B are Disjoint Sets.

Now, $$A \cap C$$ = {6}

Since A intersection C is not $$\phi$$. So, they are intersecting sets.

Now, $$B \cap C$$ = {8, 10}

Since B intersection C is also not $$\phi$$. So, they are also intersecting sets.