subset, superset, powerset, intervals of sets

Union, Intersection, complement, difference and venn diagram of sets

Cartesian product of sets and Cartesian product arrow diagrrams

# Union of sets

Collection of all distinct member of two sets A and B is known as union of set A and set B. in other word collection of all those elements which are either
in set A or in set B or in both. union of sets is denoted by symbol ∪ for example A union B is denoted by A ∪ B .

Example : if set A={2, 3, 4} and set B={1, 2, 5, 4} then A ∪ B = {1, 2, 3, 4, 5}

if set P={1, 2, 3} and set Q={x: x∈N and 1 < x < 8} then P ∪ Q = {1, 2, 3, 4, 5, 6, 7}

## Intersection of sets

Collection of all common member of two sets A and B is known as Intersection of set A and set B. in other word collection of all those elements which are common
in both set A and set B . intersection of sets is denoted by symbol ∩ for example A intersection B is denoted by A ∩ B .

Example : if set A={2, 3, 4} and set B={1, 2, 5, 4} then A ∩ B = {2, 4}

if set P={1, 2, 3} and set Q={x: x∈N and 1 < x < 8} then P ∩ Q = {2, 3}

**Disjoint set** : Two sets are known as disjoint sets if they have no common element. means if intersection of two sets is φ then set A and set B is said to be disjoint sets. A ∩ B = φ

Example : if set A={2, 3, 4} and set B={5, 6, 7} then A ∩ B = φ here set A and set B are disjoint set because Intersection of both set is φ

### Complement of a set

Complement of a set is a collection of all those element of universal set which are not element of set A. Complement of any set A is denoted by A^{'} or A^{c}.

### Difference of sets

Difference of two sets A and B is collection of all element of set A which are not present in set B or element of B is known as difference of sets A and B. and denoted by A - B( read as A minus B.

### Venn diagrams

Venn diagrams is a digram those represents set and element of set with the help of circle , rectangular box and points.