What is set concept?? Explain or 10 answers reported.
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Answer:
The concept of set is a very basic one. ... In fact, any way of collecting things into a whole results in a set; the things collected are the elements of the set. To say that a set is determined by its elements is to say that any set is completely given by specifying what its elements are.
Explanation:
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Answer:
=> Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects. Although objects of any kind can be collected into a set, set theory, as a branch of mathematics, is mostly concerned with those that are relevant to mathematics as a whole.
- 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. It was developed to describe the collection of objects.The set theory defines the different types of sets, symbols and operations performed.
☆Definition of Sets-:
Sets are represented as a collection of well-defined objects or elements and it does not change from person to person. A set is represented by a capital letter. The number of elements in the finite set is known as the cardinal number of a set.
☆What are the Elements of a Set?-:
Let us take an example:
A = {1, 2, 3, 4, 5 }
Since a set is usually represented by the capital letter. Thus, A is the set and 1, 2, 3, 4, 5 are the elements of the set or members of the set. The elements that are written in the set can be in any order but cannot be repeated. All the set elements are represented in small letter in case of alphabets. Also, we can write it as 1 ∈ A, 2 ∈ A etc. The cardinal number of the set is 5. Some commonly used sets are as follows:
- N: Set of all natural numbers
- Z: Set of all integers
- Q: Set of all rational numbers
- R: Set of all real numbers
- Z+: Set of all positive integers
☆Orders of Sets-:
The order of a set defines the number of elements a set is having. It describes the size of a set. The order of set is also known as the cardinatily.
The size of set whether it is is a finite set or an infinite set said to be set of finite order or infinite order, respectively.
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