Sets, Relations, and Functions

DE MORGAN’S LAW ON DIFFERENCES

They are named after Augustus De Morgan , a British mathematician in the 19th century. The set of all those elements which are either in A or in B is the union of two sets A and B. In other we can say that the complement of the intersection of two sets A and B […]

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Class 11, IIT JEE, Maths, Sets, Relations, and Functions, Union, intersection, and complements

DE MORGAN’S LAW ON INTERSECTION

They are the names of Augustus De Morgan, who was a British mathematician in the 19th century. The set of all those elements which are either in A or in B is the union of two sets A and B. In other we can say that the complement of the intersection of two sets A

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Class 11, IIT JEE, Maths, Sets, Relations, and Functions, Union, intersection, and complements

DE MORGAN’S LAW ON UNION

They are named after Augustus De Morgan , a British mathematician in the 19th century. The set of all those elements which are either in A or in B is the union of two sets A and B. In other we can say that the complement of union of two sets is intersection of their

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Class 11, IIT JEE, Maths, Sets, Relations, and Functions, Union, intersection, and complements

DISJOINT SET

If there does not exist any common elements between two sets then they are said to be disjoint sets. In other words, if the intersection of  two sets is empty i.e. no common elements then they are said to be disjoint sets. Disjoint sets are used to solve a variety of arithmetic issues and have

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Class 11, IIT JEE, Maths, Sets, Relations, and Functions, Union, intersection, and complements

Unions, Intersections, and Complements

Union, intersection, and compliments of any particular set are essential parts of set theory and operation topics. To know the compliment detail of these terms. It is crucial to understand the basics of the set theory of mathematics. Set is a compilation and collection of observations, entities, or elements. Every set has entity observations associated

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Class 11, IIT JEE, Maths, Sets, Relations, and Functions, Union, intersection, and complements

Union, Intersection, and Complement of Sets

Introduction Union, intersection, and complement of sets are some of the set operations, which are used in the ‘set theory’ of mathematics that studies sets. You can describe a set as a group of any mathematical or non-mathematical elements (or members), multiple sets carry out operations with each other to solve math problems. Its operations

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Class 11, IIT JEE, Maths, Sets, Relations, and Functions, Union, intersection, and complements

Union of Sets

We conduct operations in mathematics such as addition, subtraction, multiplication, and so on. These operators usually take two or more operands and return a result based on the operation. In set theory, some operations are typically done on two or more sets to produce a new set of items based on the operation. The amount

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Class 11, IIT JEE, Maths, Sets, Relations, and Functions, Union, intersection, and complements

Union and Intersection of Sets

Set operations are related to basic mathematical operations. In mathematics, a set is a finite collection of items, such as numbers, alphabets, or real-world objects. When the requirement to establish the relationship between two or more sets emerges, we must act quickly. Set operations are introduced at this point. Set union, set intersection, set complement,

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Class 11, IIT JEE, Maths, Sets, Relations, and Functions, Union, intersection, and complements

Union and Intersection

Sets are a well-defined group of data/objects that may be found in a database. The data/objects are all members of the same group, yet each data is distinct from the others. As an example, if the word “application” is required to be placed in a Set, it will look something like this: Set A={a, p,

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Class 11, IIT JEE, Maths, Sets, Relations, and Functions, Union, intersection, and complements

intersection of sets and their algebraic properties

Intersection of Sets and Their Algebraic Properties Introduction A set is a consolidation of the elements of a group based on a common category. For example, it can be a set of students in class 7, a set of heights of 13-year-old girls, and even a set of cricketers in a particular team. These are

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Class 11, IIT JEE, Maths, Sets, Relations, and Functions, Union, intersection, and complements