Class 11

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

Let us start with the definition of universal set and complement set in much more detail. Universal Set can be defined as a particular set that comprises all the elements of the associated sets and the elements in the Universal Set are not repeated on the other hand complement sets consist of all such elements

Power Set Introduction The power set is defined as the set of all subsets for any given set, including the empty set, which is denoted by {}, or, ϕ. A set that has ‘n’ elements can have a total of 2nsubsets. For instance, let Set A = {1,2,3}, therefore, the total number of elements in set