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What else can I help you with?
Are two empty sets equal?
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Is the union of disjoint sets is always the empty set?
No, only if both sets are empty. The intersection of disjoint sets is always empty.
Definition of equivalent sets?
two sets A and B are said to be equivalent if there exists a bijective mapping between A and B
What can you say empty sets or null sets?
empty set or null set is a set with no element.
Is The intersection of two nonempty sets is always nonempty?
Not necessarily. The odd integers and the even integers are two infinitely large sets. But their intersection is the null (empty) set.
Are two empty sets equal?
Help
Is the union of disjoint sets is always the empty set?
No, only if both sets are empty. The intersection of disjoint sets is always empty.
Definition of equivalent sets?
two sets A and B are said to be equivalent if there exists a bijective mapping between A and B
What is the symbol for joint sets?
There is no such symbol for joint sets. Actually, there is a representation for joint sets. That is: The sets are joint if A ∩ B is not empty. The sets are disjoint if A ∩ B is empty.
What is interseting set?
I presume you mean intersecting. Two sets are intersecting if they have members in common. The set of members common to two (or more) sets is called the intersection of those sets. If two sets have no members in common, their intersection is the empty set. In this case the sets are called disjoint.
What can you say empty sets or null sets?
empty set or null set is a set with no element.
Is The intersection of two nonempty sets is always nonempty?
Not necessarily. The odd integers and the even integers are two infinitely large sets. But their intersection is the null (empty) set.
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.
Why empty set is a set?
The concept of closure: If A and B are sets the intersection of sets is a set. Then if the intersection of two sets is a set and that set could be empty but still a set. The same for union, a set A union set Null is a set by closure,and is the set A.
What is empty or null in mathematics?
The terms are usually used to describe sets that contain no elements or empty sets.
When are two sets equivalent?
Two sets are considered equivalent when they contain the same number of elements, regardless of whether the elements themselves are the same or the order in which they are listed. This means there exists a one-to-one correspondence (bijective function) between the elements of the two sets. It’s important to note that equivalent sets can be of different types, such as finite and infinite sets, as long as their cardinalities match.
How come an empty sets become an empty sets?
An empty set becomes an empty set by virtue of its definition which states that it is a set that contains no elements. In other words, it contains nothing, it is empty!
