Types of Sets. Equal sets Two sets are said to be equal, if they contain the same elements. The set is usually represented by the capital letter. The name itself reflects the meaning of equal sets but there is some condition that we should keep in mind. After Subscription please visit your email and activate it. Generally, the elements of the sets can be written in any order but it should not be repeated. In Mathematics, a set is defined as the collection of well-defined distinct objects. For e.g. Equaivalent sets are sets which are same in number of elements but the elements themselves are not equal. Not all infinite sets are equivalent to each other. Equal And Equivalent Sets Examples. In this article, we are going to discuss what is meant by equal and equivalent set with examples and also the difference between them. This is represented by: Let us now go ahead and find when the given two sets are equivalent. Learn the definition of equal and equivalent sets in set theory. Learn the definition of equal and equivalent sets in set theory. It does not matter what order the elements are in. Example 1: P = {4, 5, 8, 7, 10, 2, 4, 7} and Q = {7, 10, 4, 8, 5, 2} Also, visit CoolGyan to get the definition, set representation and the difference between them with examples Therefore You may conclude that All Equal Sets are Equivalent sets but not all Equivalent sets are Equal sets. In this blog am going to cover all Mathematics related concepts. In basic set theory, two sets can either be equivalent, equal or unequal to each other. Equal Set Example. It is also noted that no matter how many times an element is repeated in the set, it is only counted once. IfÂ PÂ = {1,â7,200011000,55} andÂ QÂ = {1,2,3,4}, thenÂ PÂ is equivalent toÂ Q. IfÂ CÂ = {xÂ :Â xÂ isÂ positiveÂ integer} andÂ DÂ = {dÂ :Â dÂ isÂ aÂ naturalÂ number}, thenÂ CÂ isÂ equivalentÂ toÂ D. To know more about the sets and other mathematical concepts, visit us at CoolGyan and download CoolGyan -The Learning App to learn with ease by watching more interactive videos. College homework help The elements do not need to … Definition 2:Â Two setsÂ AÂ andÂ BÂ are said to be equivalent if they have the same cardinality i.e.Â n(A)Â =Â n(B). IfÂ PÂ = {1,Â 3,Â 9,Â 5,Â â7} andÂ QÂ = {5,Â â7,Â 3,Â 1,Â 9,}, thenÂ PÂ =Â Q. Support your answer with suitable examples. This is represented by: If the condition discussed above is not met, then the sets are said to be unequal. It just matters that the same elements are in each set. In general, we can say, two sets are equivalent to each other if the number of elements in both the sets is equal. Know what an equal set is Define equivalent set Familiarize yourself with examples of equivalent sets Familiarize yourself with the notation of equivalent sets Understand what cardinality means; 1. A = {1, 3, 5, 7, 9}. After that you will be say your own definition and examples in your own style. Also, visit CoolGyan to get the definition, set representation and the difference between them with examples Is the converse true ? 1. In the sets order of elements is not taken into account. In Mathem Here A is a set of five positive odd numbers less than 10. Learn and know everything about equal sets i.e. So, to rephrase in terms of cardinal number, we can say that: IfÂ AÂ =Â B, thenÂ n(A)Â =Â n(B)Â and for anyÂ xÂ âÂ A,Â xÂ âÂ BÂ too. Thus, the sets {a, b, c} and {1, 2, 3} are said to be equivalent and not equal. In the set P we have 8 elements but the element 4 and 7 repeated so we need to count only once. It is also noted that no matter how many times an element is repeated in the set, it is only counted once. Also if two sets are the subsets of each other, they are said to be equal. 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