Class 11

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 […]

A group of objects is referred to as a set. The elements or members of a set are the objects that make up the set. A set’s elements can be any kind of object, including sets! A set’s members don’t even have to be the same kind. A set, for example, can be made up

Sets are the well-defined and organised collection of all objects and elements. A set can comprise any element, let it numbers, days of a week, cards in a deck, etc. They are used to represent and differentiate one element from another.  One basic rule of a set is that it does not change from person

Equal sets are sets in set theory that have the same number of elements and are all equal. It’s a set equality idea. Let us review the definition of sets before delving more into the concept of equal sets. A set is a well-defined group of objects like letters, numbers, persons, forms, and so on.

A set is a collection of related objects enclosed in brackets. Learn the distinctions and similarities between an equal set and an equivalent set, as well as how to define cardinality and the concept of equivalent sets. Before we can define an equivalent set, we must first understand what a set is. A set is

 Introduction Any collection of objects (elements) in mathematics and logic, which may or may not be mathematical (e.g., numbers and functions). A list of all the members of a set is often expressed using braces. The intuitive concept of a set is likely older than the concept of a number. A herd of animals, for

A graphical representation of the various ways in which different sets may be related to one another. Any closed figure, such as a circle or a polygon, can serve as an accurate representation of a Venn diagram (square, hexagon, etc.). In most cases, though, we will use circles to depict each group. A Venn diagram

The universal set is a set that contains elements of all the related sets, without repeating the elements with itself. Let 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

Introduction One of the set operations used in set theory is the union of sets. Other set operations include difference and intersection, in addition to set union. A unique operator is used to represent all set operations. The arithmetic addition of sets is equivalent to the union of sets. The set that contains all of

Sets are essentially a collection of different items that constitute a group in mathematics. The element present in the set refers to each object in the set. When writing a set, curly brackets are utilised. As an example of a set, consider the following. Set A equals {1,2,3,4,5}. Definition of set The set is a