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operations on sets

As of now you have learned abouts what is set and types of sets now in this page you are going to learn the basic operations of the sets.

1. Complement of set​

set of all elements that are not belongs to the set but belongs to universal set.

Ac={x∣x∉A and x∈U}A^c = \{x|x \notin A \, and \, x \in U\}

2. Union of set​

let A and B are two sets. then the set of those elements which either belongs to set A and set B

it is denoted by A∪BA \cup B

A∪B={x∣x∈A or x∈B}A \cup B = \{x | x\in A \, or\, x \in B\}

3. Intersection of set​

let A and B are two sets. then the set of those elements which belongs to both set A and set B

it is denoted by A∩BA \cap B

A∪B={x∣x∈A and x∈B}A \cup B = \{x | x\in A \, and \, x \in B\}

4. disjoint sets​

two sets are said to be disjoint if they do not have common element

i.e A∩B=∅A \cap B = \emptyset

5. set difference​

the set of elements that belongs to set A but does not belongs to set B

A−B={x∣x∈Aandx∉B}A-B = \{x| x \in A and x \notin B\}