Real Numbers – Definition and Examples In this tutorial, we will learn all about real numbers. What are Real Numbers? Real numbers are the set of rational and irrational numbers in number system. Real Number Definition Real numbers are union of rational and irrational numbers. Real numbers can be represented on number line and all […]
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 →Fill the symbol in the blank space. (i) {a, b, c, d, e}….{a, b, c} (ii) {3, 5, 7}… {3, 4, 5, 6, 7} (iii) {x : x is a odd number}…{x : x is a even number} (iv) {x : x is a student of class VI in your school}….{x : x is a […]
Read More →Subset Find the subsets of the following sets. (i) {a}, (ii) {a, b}, (iii) {a, b, c}, (iv) {p, q}, (v) {p, q, r}, (vi) {1,}, (vii) {1, 2, }, (viii) {1, 2, 3}, (ix) {1, 2, 3, 4}, Answer: (i) {a}, ∅ (ii) {a}, {b}, {a, b}, ∅ (iii) {a} , {b}, {c}, {a, […]
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 →Set Theory Symbol List List of set theory symbols Symbol Symbol Name 1. {} Set 2. A […]
Read More →Subset Definition: A set X is said to be a subset of another set Y, If all elements of set X are elements of set Y. In other words, the set X is contained inside the set Y. Symbol ‘⊂’ is denoted for ‘Subset of’ or is ‘Contained in’. If set A is a subset of set B, then it […]
Read More →Set Theory : Equal and Equivalent Sets Definition & Examples: Equal Sets The two given sets have member of elements and the number of elements are exactly same, then the sets are called Equal Sets. The elements could be anything like picture, numbers, alphabets. The repetition of elements and the order of […]
Read More →Types of sets In set theory, we will learn Type of sets as Finite and Infinite sets Singleton set Cardinal number of a set Equal and Equivalent sets Empty set Overlapping set Subsets Disjoint set Universal set 1. Finite set: Finite set: In a set number of elements is limited or numbers are counted is called […]
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