Sets and their representation

Bounded Set Types

We learn sets and their properties in Set Theory, a part of mathematical logic. A set is a collection of objects or a group of objects. Set elements or individuals are terms used to describe these entities. For example, a group of cricket players is a group of players. Because a cricket team can only […]

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

Cardinality and the Properties of a Power Set

What is the purpose of a power set? You’ve probably employed the intuition underpinning power sets without even realising it. When you select a subset of items from a bigger set, you are picking a power set item. For example, if a child has $5 and wants to go shopping for candy, which aspect of

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

Cartesian Product

The Cartesian product is the product of any two sets, but it is actually ordered, meaning that the resultant set contains all feasible and ordered pairs in which the first element belongs to the first set and the second element belongs to the second set. We refer to them as the first and second elements,

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

Cartesian Product in Set Relations Functions Formula

A set is a well-defined group of elements. In mathematics, there are many types of sets based on the number of elements they have. Cartesian product in set relations function implies the product of two elements of Cartesian in an arranged manner. The Cartesian product in set relations functions formula for set A and set

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

Complement of Sets

What are sets? Sets are a well-defined collection of objects or elements. A Universal Set is any set that contains all of the items or elements linked to a specific context and is symbolised by the letter U. The Complement of Set A that is a subset of the Universal Set U, contains the elements

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

Complement Of Sets And Their Algebraic Properties

The set that includes all of the universal set’s components that aren’t identified in the provided set appears to be the complement of sets. For example, assume A is a set of all pennies, a subset of a universal set including all pennies and notes. Set A’s complement will be the set of notes that

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

Difference of Sets

We can say that the difference of sets is one of the important and fundamental set theory operations. Union and intersection are one of the other set theory operations in addition to the difference of sets. The difference of two sets A and B is a set that consists of all the elements of A

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