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What is equal set?
Two sets are equal if they both contain the same elements.
Is equal sets and equivalent sets are the same?
No, equal sets and equivalent sets are not the same. Equal sets contain exactly the same elements, meaning every element in one set is also in the other. In contrast, equivalent sets have the same number of elements but may contain different elements. For example, the sets {1, 2, 3} and {3, 2, 1} are equal, while the sets {1, 2} and {4, 5} are equivalent but not equal, as both contain two elements.
What a equal sets?
What are equal sets?? A set is a grouping of numbers. Set P = {1,4,9} if set Q is equal it must contain exactly the same numbers.
Can 2 disjoint sets be equal?
No, two disjoint sets cannot be equal. By definition, disjoint sets are sets that have no elements in common, meaning their intersection is empty. If two sets are equal, they contain exactly the same elements, which contradicts the notion of being disjoint. Therefore, if two sets are disjoint, they cannot be equal.
Are equivalent sets equal?
No, equivalent sets are not necessarily equal. Two sets are considered equivalent if they have the same cardinality, meaning they contain the same number of elements, regardless of the actual elements within them. For example, the sets {1, 2, 3} and {a, b, c} are equivalent because both have three elements, but they are not equal since they contain different elements.
What is the definition of a equal set?
Equal sets are sets that contain exactly the same elements, meaning every element of one set is also an element of the other set, and vice versa. For example, if Set A = {1, 2, 3} and Set B = {3, 2, 1}, then A and B are equal sets because they contain the same members, regardless of the order. Equal sets are denoted as A = B.
What are the examples of equal set?
Two sets are equal if they contain the same identical elements. If two sets have only the same number of elements, then the two sets are One-to-One correspondence. Equal sets are One-to-One correspondence but correspondence sets are not always equal sets.Ex: A: (1, 2, 3, 4)B: (h, t, m, k)C: (4, 1, 3, 2)A and C are Equal sets and 1-1 correspondence sets.
What are equal and equivalent sets?
Equal sets contain identical elements. e.g. if A = {1,2,3} and B = {1,2,3}, then A and B are equal - their elements are the same. Equivalent sets have identical numbers of elements. e.g. if A = {1,2,3} and B = {a,b,c}, then A and B are equivalent - they both have three elements.
What are the example of Equality?
Two sets are equal if they contain the same identical elements. If two sets have only the same number of elements, then the two sets are One-to-One correspondence. Equal sets are One-to-One correspondence but correspondence sets are not always equal sets.Ex: A: (1, 2, 3, 4)B: (h, t, m, k)C: (4, 1, 3, 2)A and C are Equal sets and 1-1 correspondence sets.
Which sets are equal?
Two sets are equal when they have the same elements.
Are equal sets equivalent set?
yes, equal sets are equalent
Are equivalent sets equal sets why?
No, because equivalent sets are sets that have the SAME cardinality but equal sets are sets that all their elements are precisely the SAME. example: A={a,b,c} and B={1,2,3} equivalent sets C={1,2,3} and D={1,2,3} equal sets
