Sets – Cartesian Product of Sets If A and B are two non empty sets, then their Cartesian Product A x B is set of all possible ordered pairs. A x B = {(x, y) : x ∈A, y ∈ B} where the elements of A are comes first and the elements of B are […]
Read More →Definition: If A and B are two sets then, difference of set A and set B is the all elements of set A, that are not elements of set B. or The Difference of two Sets A and B, is set of elements, which belong to A but not to B. Difference of Sets A and […]
Read More →Intersection of sets Definition: The ‘Intersection of two sets’ A and B is the set of all elements, which belong to both A and B. or simply, The ‘Intersection of two sets’ A and B is the set of all elements, which are common in both A and B. Symbol ‘∩’ is used to denoted the Intersection of two sets […]
Read More →Power Set – Definition – Examples Definition: The Collection of all Subsets of a Given Set, is known as ‘Power Set’. Power set of any set S is the set, of all subsets of S, including the empty set and set S itself. Power […]
Read More →Complement of a Set Definition: The complement of a set A, is set of all elements of universal set, which are not the elements of A. Let U be the Universal set and A is subset of U, then the “Complement of A” is set of all elements of U which are not the elements of A. […]
Read More →Empty set A set which does not contain any element is called an Empty set, or null set or void set. Empty set is denoted by { } or ∅ (Greek letter phi). Curly braces having no elements on it. Example: 1. The set of natural numbers less than 0, because there is no elements in the empty set. […]
Read More →Elements of a Set Definition: A number, letter or any object contained in a set is known as “Element of the set”. Example 1: Let set A = {1, 2, 3} so the elements of set A are 1, 2 and 3. let see this example in Venn diagram, […]
Read More →Universal Set In this lesson, we will learn what is a universal set and representation of universal set in venn diagrams. Definition: The set that contain all the elements of a given collection, and therefore all sets are subset of the Universal Set is known as the Universal Set. Symbol: Universal Set is represented by symbol “U”. […]
Read More →Representation of sets There are three methods of representing a set. 1. Statement form method 2. Roster or tabular form method 3. Rule or Set builder form method Statement form method In this method well defined description of the […]
Read More →Introduction of Set Theory In (1845 – 1918 AD) German mathematician George Cantor, develop “Set Theory”. When he was working on ” Problems on Trigonometric Series”, he encountered Set. Set Theory is a branch of mathematics, A set is informally collection of objects. Although any type of objects can be collect in a […]
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