# equal and equivalent sets examples

We know, two sets are equal when they have same elements and two sets are equivalent when they have same number of elements whether the elements should be same or not. All the empty sets also fall into the category of finite sets. Support your answer with suitable examples. These sets do not need to have the same exact elements. Worksheet on equal sets and equivalent sets will help us to practice different types of questions to state whether the pairs of sets are equal sets or equivalent sets. Equal sets Two sets are said to be equal, if they contain the same elements. Is the converse true ? Also, visit CoolGyan to get the definition, set representation and the difference between them with examples Definition: If a set contains no element or a definite number of elements, it is called a finite set. In this set, the number of elements is finite. Learn the definition of equal and equivalent sets in set theory. 1. If the set is non-empty, it is called a non-empty finite set. Example : A = {1, 2, 3} B = … No, because equivalent sets are sets that have the SAME cardinality but equal sets are sets that all their elements are precisely the SAME. Some examples of finite sets are: Thus, the sets {a, b, c} and {1, 2, 3} are said to be equivalent and not equal. Taking forward the example of sets given above, the sets are said to be equivalent if they have the same number of elements, but the elements are different. Equivalent sets - definition Equivalent set is a set with an equal number of elements. All equal sets are equivalent. There is another word labeled equivalent that echoes this sentiment.