Disjoint sets are those that have no elements in common, meaning their intersection is empty, while equal sets contain exactly the same elements. For example, if set A = {1, 2, 3} and set B = {4, 5, 6}, they are disjoint. In contrast, if set C = {1, 2, 3}, then sets A and C are equal. Thus, disjoint sets can exist without any overlapping elements, whereas equal sets must contain identical elements.
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Sets are not disjants, they are disjoint. And two sets are disjoint if they have nothing in common. For example, the set {1,3,5} has nothing in common with the set {2,4,6}. So they are disjoint.
Two sets are said to be "disjoint" if they have no common element - their intersection is the empty set. As far as I know, "joint" is NOT used in the sense of the opposite of disjoint, i.e., "not disjoint".
Not necessarily. For a counterexample, A and C could be the same set.
Two events are disjoint if they cannot occur together. In set terms, their intersection is a null set.
Two sets are said to be "disjoint" if they have no common element - their intersection is the empty set. As far as I know, "joint" is NOT used in the sense of the opposite of disjoint, i.e., "not disjoint".
The difference between joint sets and disjoint sets is the number of elements in common. A disjoint set, in math, does not any elements in common. A joint set must have at least one number in common.
they dont share common elements...thats why their disjoint..g??
A set that has no elements in common with another set is called a "disjoint set." When two sets are disjoint, their intersection is empty, meaning there are no shared elements between them. For example, the sets {1, 2, 3} and {4, 5, 6} are disjoint sets.
ExplanationFormally, two sets A and B are disjoint if their intersection is the empty set, i.e. if This definition extends to any collection of sets. A collection of sets is pairwise disjoint or mutually disjoint if, given any two sets in the collection, those two sets are disjoint.Formally, let I be an index set, and for each i in I, let Ai be a set. Then the family of sets {Ai : i ∈ I} is pairwise disjoint if for any i and j in I with i ≠ j,For example, the collection of sets { {1}, {2}, {3}, ... } is pairwise disjoint. If {Ai} is a pairwise disjoint collection (containing at least two sets), then clearly its intersection is empty:However, the converse is not true: the intersection of the collection {{1, 2}, {2, 3}, {3, 1}} is empty, but the collection is not pairwise disjoint. In fact, there are no two disjoint sets in this collection.A partition of a set X is any collection of non-empty subsets {Ai : i ∈ I} of X such that {Ai} are pairwise disjoint andSets that are not the same.
No, only if both sets are empty. The intersection of disjoint sets is always empty.
in a set if two elements or numbers are equal then it is known as equivalent set