0
If you want to show that A is a subset of B, you need to show that every element of A belongs to B. In other words, show that every object of A is also an object of B.
Wiki User
∙ 13y ago
Add your answer:
Earn +20 pts
What is the name of the eight grouping symbols?
The eight (8) grouping symbols related to set theory include the following: ∈ "is an element (member) of" ∉ "is not an element (member) of" ⊂ "is a proper subset of" ⊆ "is a subset of" ⊄ "is not a subset of" ∅ the empty set; a set with no elements ∩ intersection ∪ union
Was the All in the Family set used in another TV show?
No. It does not appear the All in the Family set was reused by another TV show.
If A-B equals null set then prove A subset of B?
A - B is null.=> there are no elements in A - B.=> there are no elements such that they are in A but not in B.=> any element in A is in B.=> A is a subset of B.
Prove that A contains N elements and the different subsets of A is equal to 2?
Assuming the question is: Prove that a set A which contains n elements has 2n different subsets.Proof by induction on n:Base case (n = 0): If A contains no elements then the only subset of A is the empty set. So A has 1 = 20 different subsets.Induction step (n > 0): We assume the induction hypothesis for all n smaller than some arbitrary number k (k > 0) and show that if the claim holds for sets containing k - 1 elements, then the claim also holds for a set containing k elements.Given a set A which contains k elements, let A = A' u {.} (where u denotes set union, and {.} is some arbitrary subset of A containing a single element no in A'). Then A' has k - 1 elements and it follows by the induction hypothesis that (1) A' has 2k-1 different subsets (which also are subsets of A). (2) For each of these subsets we can create a new set which is a subset of A, but not of A', by adding . to it, that is we obtain an additional 2k-1 subsets of A. (*)So by assuming the induction hypothesis (for all n < k) we have shown that a set A containing kelements has 2k-1 + 2k-1 = 2k different subsets. QED.(*): We see that the sets are clearly subsets of A, but have we covered all subsets of A? Yes. Assume we haven't and there is some subset S of A not covered by this method: if S contains ., then S \ {.} is a subset of A' and has been included in step (2); otherwise if . is not in S, then S is a subset of A' and has been included in step (1). So assuming there is a subset of A which is not described by this process leads to a contradiction.
What is a subset from a larger population?
in statistics a sample is a subset of population..
What is the root word of subset?
The root word of subset is "set." A subset is a set that is contained within another set.
What is a subset and a proper subset?
A set is a subset of a another set if all its members are contained within the second set. A set that contains all the member of another set is still a subset of that second set.A set is a proper subset of another subset if all its members are contained within the second set and there exists at least one other member of the second set that is not in the subset.Example:For the set {1, 2, 3, 4, 5}:the set {1, 2, 3, 4, 5} is a subset set of {1, 2, 3, 4, 5}the set {1, 2, 3} is a subset of {1, 2, 3, 4, 5}, but further it is a proper subset of {1, 2, 3, 4, 5}
What do you call sets within another set?
If all elements of set A are also elements of set B, then set A is a subset of set B.
What is the defatitation of subset?
a set of which all the elements are contained in another set.
When is a set a subset of another set?
For example the set of all numbers which are integer multiples of 4 is a subset of all the numbers exactly divisible by 2.
What is a proper set?
There is no such concept as "proper set". Perhaps you mean "proper subset"; a set "A" is a "proper subset" of another set "B" if:It is a subset (every element of set A is also in set B)The sets are not equal, i.e., there are elements of set B that are not elements of set A.
What are subsets of numbers?
A subset is a set belonging to another bigger or equal set.
What is a subset in mathematics?
If all elements in set "A" are also elements of set "B", then set "A" is a subset of set "B". If the sets are not equal (set "B" also has some elements that are not in set "A"), then set "A" is a PROPER subset of set "B".Answer:In simple words: a subset is a set (a group) that is within another set. For example, the set of odd integers (odd numbers) is a subset of the set of all integers.A non-math example: the set of urbanites is a subset of the set of all people.See the first Answer (above) for more detail.
Can a set be a subset of another and the two sets be mutually exclusive?
No.
If a set A is equivalent to a subset of B and B is equivalent to a subset of A then show that A is equivalent to B?
This problem can be modeled and tested quite easily. Set A can be [X,Y], subset B [X,Y], and subset A [X,Y]. Therefore A and B are equivalent.
What are subsets in math?
A set of which all the elements are contained in another set. The set of even numbers is a subset of the set of integers.
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.
