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Worksheet on Disjoint Sets and Overlapping Sets/2
The relations are stated between the pairs of sets. Learn to state, giving reasons whether the following sets are equivalent or equal, disjoint or overlapping. Equal Set: Two sets A and B are said to be equal if all the elements of set A are in set B and vice versa. The symbol to denote an equal set is =. A = B means set A is equal to set B and set B is equal to set A. For example; A = {2, 3, 5} B = {5, 2, 3} Here, set A and set B are equal sets. Equivalent Set: Two sets A and B are said to be equivalent sets if they contain the same number of elements. The symbol to denote equivalent set is ?. A ? means set A and set B contain the same number of elements. For example; A = {p, q, r} B = {2, 3, 4} Here, we observe that both the sets contain three elements. Notes: Equal sets are always equivalent. Equivalent sets may not be equal. Disjoint Sets: Two sets A and B are said to be disjoint, if they do not have any element in common. For example; A = {x : x is a prime number} B = {x : x is a composite number}. Clearly, A and B do not have any element in common and are disjoint sets. Overlapping sets: Two sets A and B are said to be overlapping if they contain at least one element in common. For example;
Last Updated: 5th Aug 2016
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