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Yes, the empty set is a subset of any set.
Recall the definition: A is a subset of B if every element in A is also in B. But A is empty so one can assign any property (including "membership in B") to its elements and the property will hold.
Statement "every seven-legged alligator is orange" is true for the same reason.
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What is trivial subset?
The trivial subsets of a set are those subsets which can be found without knowing the contents of the set. The empty set has one trivial subset: the empty set. Every nonempty set S has two distinct trivial subsets: S and the empty set. Explanation: This is due to the following two facts which follow from the definition of subset: Fact 1: Every set is a subset of itself. Fact 2: The empty set is subset of every set. The definition of subset says that if every element of A is also a member of B then A is a subset of B. If A is the empty set then every element of A (all 0 of them) are members of B trivially. If A = B then A is a subset of B because each element of A is a member of A trivially.
What is the subset of 5564?
The only subsets of the set containing 5564 is the empty set and the set {5564}.
What is subset of set?
Given a set, S, a subset A of S is set containing none or more elements of S. So by definition, the subset A is a set.If there exists some element that is in S but not in A then A is a pro[er subset of S.
Difference between subset and proper subset?
A subset of a set S can be S itself. A proper subset cannot.
What the example of improper subset?
If you have a set S, the only improper subset of S is S itself. An improper subset contains all elements of S and no others. It is therefore equivalent to S. For example if S ={1,2,3} then the improper subset is {1,2,3}, and an example proper subset is {1,2}.
Is an empty set element of any set s?
The empty element is a subset of any set--the empty set is even a subset of itself. But it is not an element of every set; in particular, the empty set cannot be an element of itself because the empty set has no elements.
What is trivial subset?
The trivial subsets of a set are those subsets which can be found without knowing the contents of the set. The empty set has one trivial subset: the empty set. Every nonempty set S has two distinct trivial subsets: S and the empty set. Explanation: This is due to the following two facts which follow from the definition of subset: Fact 1: Every set is a subset of itself. Fact 2: The empty set is subset of every set. The definition of subset says that if every element of A is also a member of B then A is a subset of B. If A is the empty set then every element of A (all 0 of them) are members of B trivially. If A = B then A is a subset of B because each element of A is a member of A trivially.
What is the subset of 5564?
The only subsets of the set containing 5564 is the empty set and the set {5564}.
Is a subset can be a set?
yes ,,,because subset is an element of a set* * * * *No, a subset is NOT an element of a set.Given a set, S, a subset A of S is set containing none or more elements of S. So by definition, the subset A is a set.
What is subset of set?
Given a set, S, a subset A of S is set containing none or more elements of S. So by definition, the subset A is a set.If there exists some element that is in S but not in A then A is a pro[er subset of S.
What are the subset of a set?
The subset of a set S is a set containing none, some or all of the elements of S.
Difference between subset and proper subset?
A subset of a set S can be S itself. A proper subset cannot.
What the example of improper subset?
If you have a set S, the only improper subset of S is S itself. An improper subset contains all elements of S and no others. It is therefore equivalent to S. For example if S ={1,2,3} then the improper subset is {1,2,3}, and an example proper subset is {1,2}.
What is subset sets?
Given a set, S, a subset A of S is set containing none or more elements of S. So by definition, the subset A is a set.If there exists some element that is in S but not in A then A is a pro[er subset of S.
What is subset of a set?
A subset, A, of a given a set S, consists of none or more elements that belong to S.
What is subsets and proper subsets?
A set "A" is said to be a subset of "B" if all elements of set "A" are also elements of set "B".Set "A" is said to be a proper subset of set "B" if: * A is a subset of B, and * A is not identical to B In other words, set "B" would have at least one element that is not an element of set "A". Examples: {1, 2} is a subset of {1, 2}. It is not a proper subset. {1, 3} is a subset of {1, 2, 3}. It is also a proper subset.
How many subsets are in a Null set?
even though its carnality is 0 one of its properties says that the only subset of the null set is the empty set * * * * * Carnality refers to sexual desires and I would be greatly surprised if the null set had any of those! The number of subsets of a set whose cardinality is C(S) is 2C(S). The cardinality of the null set is, as the answer was trying to say, 0. So the number of its subsets is 2C(S) = 20 = 1. A null set has one subset - which is also a null set.
