Sets, Relations, and Functions

A collection of things is what we mean when we talk about a set. The term “Element” refers to each individual thing that is contained within a set. There are three different ways that a set can be represented. There is the statement form, the roster form, and the notation for the set builder. The […]

Set theory was invented in the 18th century by a German Mathematician named George Cantor. His study focused on different operations involved in the sets. The term ‘sets’ helps to classify and summarise data appropriately. They play a very significant role in almost every field of mathematics, such as in probability, geometry, sequences, permutations, and

The Cartesian product of sets is the group of all the possible ordered pairs of sets in which the product of sets of elements is obtained in an ordered way. The properties of the Cartesian product of sets help to understand the product of two or more sets. There are different properties that need to

A set is a well-defined group of items whose elements are constant and cannot change. It signifies that the set does not change from one individual to the next. The set of natural numbers up to 7 will, for example, remain the same as 1,2,3,4,5,6,7. Still, if we say the best players on a football

Introduction Set means the collection of varied objects. For two sets, A and B, if all B elements are included in set A, then we call set B to be the subset of set A. For example, we have set A={2, 4, 6, 8, 10, 12} and set B={2,4,6}. Here we have all the elements

Introduction Relations, Functions, and Power set is the topic of Power Set. It is one of the most important topics for the examination. This chapter will deal with the different properties of power sets and some questions based on them.  In simple terms, A collection of all subsets of set A is called the set

A well-defined collection of elements or objects is known as a Set. A set is represented by capital letters of alphabets.  Sets are of two types:  Set-Builder Form Roster Form Set – Builder Form: In this form, we defined the set with the property of elements. Roster Form : In this form, all the elements

There are numerous categories of sets. This article concerns itself with the specificities of Finite sets and, in turn, infinite sets. But it also makes the general idea of sets and their basic categories clear. Set theory is a relatively new chapter in mathematics and is still in the process of building. The preliminary idea

In mathematics, a (real) interval is a set of actual numbers that consists of all real numbers mendacity among any two numbers of the set. For example, the set of numbers x satisfying 0 ≤ x ≤ 1 is an interval that includes zero, one, and all numbers in among. Other examples of durations are

A well-defined group of items or elements is called a set. The Cartesian product of sets is the combination of all the possible ordered pairs of sets. There are different important theorems on the Cartesian product of sets used to solve the complex set theory problems. The important theorems on the Cartesian product of sets