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Set Theory is a branch of mathematical logic where we learn sets and their properties. A set is a collection of objects or groups of objects. These objects are often called elements or members of a set. For example, a group of players in a cricket team is a set.
- Union of Sets
Similarly, in set theory usually, certain operations are...
- Complement of Sets
Venn Diagram for the Complement of a set. The Venn diagram...
- Sets
Sets, in mathematics, are an organized collection of objects...
- Chapter 1 – Sets
Sets Class 11 Notes Chapter 1 explains all the key concepts...
- Union of Sets
Sets, in mathematics, are an organized collection of objects and can be represented in set-builder form or roster form. Usually, sets are represented in curly braces {}, for example, A = {1,2,3,4} is a set. Also, check the set symbols here. In sets theory, you will learn about sets and it’s properties.
Sets Class 11 Notes Chapter 1 explains all the key concepts important for exams. Understand all the formulas and equations in chapter 1 with examples and practice questions.
Which of the following are sets? Justify your Solution:. The collection of all whole numbers less than 10. Solution: . Whole numbers are 0, 1, 2, 3, ... e. well – defined. ∴, this is a set. The collection of good hockey players in India. Solution: . As a collection of good hockey players in India may vary from person to person.
To specify a set, we can list all of its elements, if possible, or we can use a defining rule. For instance, to specify the fact that a set A contains four elements a, b, c, d, we write. A = {a, b, c, d}. To describe the set I containing all even integers, we write. E = {x: x = 2k for some integer k}.
Sets are used to define the concepts of relations and functions. The study of geometry, sequences, probability, etc. requires the knowledge of sets. The theory of sets was developed by German mathematician Georg Cantor (1845-1918). He first encountered sets while working on “problems on trigonometric series”.
18 Νοε 2024 · Set Theory is a branch of logical mathematics that studies the collection of objects and operations based on it. A set is simply a collection of objects or a group of objects. For example, a group of players in a football team is a set and the players in the team are its objects. The words collection, aggregate, and class are synonymous with set.
