Intersection of Sets

The intersection of two sets A and B ( denoted by A∩B ) is the set of all elements that is common to both A and B. In mathematical form,

For two sets A and B,
    A∩B = { x: x∈A and x∈B }

Shaded part demonstrates the intersection between two sets

Venn Diagram

Venn Diagram was proposed in 1880 by John Venn. These diagrams are very useful tools to understand, to interpret and to analyze the information contained by the sets. The different region in the Venn Diagrams can be represented with unique mathematical notation. eg: (AUB), (AUBUC) etc.

Union of Sets

For two sets A and B, the union of A and B (denoted by A∪B) is the set of all distinct elements that belong to set A or set B. In mathematical form, 

A∪B = { x: x∈A or x∈B}

Shaded part represents the union of two sets

Sets and Types of Sets

A set is a collection of distinct objects(elements) which have common property. For example, cat, elephant, tiger, and rabbit are animals. When, these animals are considered collectively, it's called set.

Set Notation

The members(elements) of set is separated by comma and braces { } are used outside the comma separated elements.

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