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Nov 28

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

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