Sets and their representation

Empty Set

Sets are the well-defined and organised collection of all objects and elements. A set can comprise any element, let it numbers, days of a week, cards in a deck, etc. They are used to represent and differentiate one element from another.  One basic rule of a set is that it does not change from person

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Class 11, IIT JEE, Maths, Sets and their representation, Sets, Relations, and Functions

Equal And Equivalent Sets

Equal sets are sets in set theory that have the same number of elements and are all equal. It’s a set equality idea. Let us review the definition of sets before delving more into the concept of equal sets. A set is a well-defined group of objects like letters, numbers, persons, forms, and so on.

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Class 11, IIT JEE, Maths, Sets and their representation, Sets, Relations, and Functions

Equal Set

A set is a collection of related objects enclosed in brackets. Learn the distinctions and similarities between an equal set and an equivalent set, as well as how to define cardinality and the concept of equivalent sets. Before we can define an equivalent set, we must first understand what a set is. A set is

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Class 11, IIT JEE, Maths, Sets and their representation, Sets, Relations, and Functions

What are Set Notations and how are they used in Maths?

 Introduction Any collection of objects (elements) in mathematics and logic, which may or may not be mathematical (e.g., numbers and functions). A list of all the members of a set is often expressed using braces. The intuitive concept of a set is likely older than the concept of a number. A herd of animals, for

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Class 11, IIT JEE, Maths, Sets and their representation, Sets, Relations, and Functions

Venn Diagram

A graphical representation of the various ways in which different sets may be related to one another. Any closed figure, such as a circle or a polygon, can serve as an accurate representation of a Venn diagram (square, hexagon, etc.). In most cases, though, we will use circles to depict each group. A Venn diagram

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Class 11, IIT JEE, Maths, Sets and their representation, Sets, Relations, and Functions

Universal Set

The universal set is a set that contains elements of all the related sets, without repeating the elements with itself. Let say if X and Y are two sets, such as X = {1,3} and Y =  {1,a,c}, then the universal set associated with these two sets is given by U = {1,3,a,c}. Universal Set

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Class 11, IIT JEE, Maths, Sets and their representation, Sets, Relations, and Functions

Union in Mathematics

Introduction One of the set operations used in set theory is the union of sets. Other set operations include difference and intersection, in addition to set union. A unique operator is used to represent all set operations. The arithmetic addition of sets is equivalent to the union of sets. The set that contains all of

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Class 11, IIT JEE, Maths, Sets and their representation, Sets, Relations, and Functions

Types of Sets and their Significance

Sets are essentially a collection of different items that constitute a group in mathematics. The element present in the set refers to each object in the set. When writing a set, curly brackets are utilised. As an example of a set, consider the following. Set A equals {1,2,3,4,5}. Definition of set The set is a

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Class 11, IIT JEE, Maths, Sets and their representation, Sets, Relations, and Functions

Types of Set Operations

Set operations are related to basic mathematical operations. In mathematics, a set is a finite collection of items, such as numbers, alphabets, or any other real-world objects. We occasionally have to establish the relationship between two or more sets due to a necessity. Set operations are introduced at this point. Set union, set intersection, set

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Class 11, IIT JEE, Maths, Sets and their representation, Sets, Relations, and Functions