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 →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 →Disjoint Sets – Overlapping Sets Definition: Two are more sets are said to be ‘Disjoint sets’, if they have no common elements. or Disjoint sets are sets, whose Intersection is the empty set. Disjoint sets are also known as Non Overlapping sets. Let A and B are two […]
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 […]
Read More →Is Zero an element of an empty set. To understand the zero is an element of an empty set, first we need to understand the difference between the empty set and zero. Difference between the empty set and zero For example, we take a set of two parallel lines AB and CD, and they intersect […]
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