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| 1. |
Name all types of sets with examoles |
| Answer» Empty SetsThe set, which has no elements or null elements. This is also called a Null set or Void set. It is denoted by {}.For example: Let, Set X = {x:x is the number of students studying in Class 6th and Class 7th}Singleton SetsThe set which has only one element is called a singleton set.For example, Set X = { 2 } is a singleton set.Finite and Infinite SetsFinite sets are the one which has a finite number of elements and Infinite sets are those whose number of elements cannot be estimated but it has some figure or number, which is very large to express in a set.For example, Set X = {1,2,3,4,5} is a finite set, as it has a finite number of elements in it.Set Y = {Number of Animals in India} is an infinite set, as there is an approximate number of Animals in India, but actual value cannot be expressed, as the numbers could be very large.Equal SetsTwo sets X and Y are said to be equal if every element of set X is also the elements of set Y and if every element of set Y is also the elements of set X. It means set X and set Y have the same elements and we can denote it as;X = YFor example, Let X = { 1,2,3,4} and Y = {4,3,2,1}, then X = YPower SetsThe power set is nothing but the set of all subsets. Let us explain how.We know the empty set is a subset of all sets and every set is a subset of itself. Taking an example of set X = {2,3}. From the above given statements we can write,{} is a subset of {2,3}Universal SetsA universal set is a set which contains all the elements of other sets. Generally, it is represented as ‘U’.For example; set X = {1,2,3}, set Y = {3,4,5,6} and Z = {5,6,7,8,9} | |