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 →Union of Sets – Set Operations In this tutorial we will learn, properties of operation of union of sets. Meaning of operations on sets There are many operations in maths like division, multiplication, addition, subtraction etc.When we apply these operations on numbers, we get a new number. Example: (a) If we multiply 4 by 5, we […]
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 →Solutions – Union and Intersection of two Sets 1.If X and Y are two sets such that X∪Y has 40 elements, X has 22 elements and Y has 30 elements, how many elements does X∩Y have? Solution: Given that n(X∪Y) = 40, n(X) = 22, and n(Y) = 30, n(X∩Y)= ? By using the formula n(X∪Y) […]
Read More →