Sets, Relations, and Functions

Difference Of Sets And Their Algebraic Properties

The difference of sets is one of the crucial set theory operations in mathematics. When grasping the operation of different sets and how they work, we cannot go without understanding the difference of two sets. In this article, we will learn the difference between two sets and their algebraic properties using examples. Difference of Sets? […]

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

Differences Between Universal Set and Union of Set

The universal set is a set which contains elements of all the related sets, without repeating the  elements with itself. Let’s 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

Disjoint Set

A set is a mathematical model for a collection of diverse things; it contains elements or members, which can be any mathematical object: numbers, symbols, points in space, lines, other geometrical structures, variables, or even other sets. The empty set is a set with no elements, while a singleton is a set with only one

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

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