0
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}.
An improper subset is a subset that includes all the elements of the original set, as well as the set itself. For example, if we have the set A = {1, 2, 3}, then the set A itself is an improper subset of A because it contains all the elements of A. In set notation, we can write this as A ⊆ A.
Add your answer:
Earn +20 pts
What is the difference between improper subset and equal sets?
There is no difference between improper subset and equal sets. If A is an improper subset of B then A = B. For this reason, the term "improper subset" is rarely used.
What is improper subset?
A proper subset B of a set A is a set all of whose elements are elements of A nad there are elements of A that are not elements of B. It follows, then, that an improper subset must be the whole set, A. That is, A is an improper subset of A
Is empty set an improper subset or not?
no
Is empty set an improper subset?
Recall that Improper subset of A is the set that contains all and only elements of A. Namely A. So does the empty set have all of A provided A is not empty? Of course not! The empty set can be only considered an improper subset of itself.
Give an example of a subset and proper subset?
give example of subset
What is an improper subset?
An improper subset is identical to the set of which it is a subset. For example: Set A: {1, 2, 3, 4, 5} Set B: {1, 2, 3, 4, 5} Set B is an improper subset of Set Aand vice versa.
What is the difference between improper subset and equal sets?
There is no difference between improper subset and equal sets. If A is an improper subset of B then A = B. For this reason, the term "improper subset" is rarely used.
What is an subset?
An improper subset is identical to the set of which it is a subset. For example: Set A: {1, 2, 3, 4, 5} Set B: {1, 2, 3, 4, 5} Set B is an improper subset of Set Aand vice versa.
What is improper subset?
A proper subset B of a set A is a set all of whose elements are elements of A nad there are elements of A that are not elements of B. It follows, then, that an improper subset must be the whole set, A. That is, A is an improper subset of A
Is empty set an improper subset or not?
no
Is empty set an improper subset?
Recall that Improper subset of A is the set that contains all and only elements of A. Namely A. So does the empty set have all of A provided A is not empty? Of course not! The empty set can be only considered an improper subset of itself.
N When 'N' is a set of natural number Then what is the proper subset of this?
proper subset {1,2} improper subset {N}
Give an example of a subset and proper subset?
give example of subset
Is null set a proper subset of any set?
yes, if the set being described is empty, we can talk about proper and improper subsets. there are no proper subsets of the empty set. the only subset of the empty set is the empty set itself. to be a proper subset, the subset must be strictly contained. so the empty set is an improper subset of itself, but it is a proper subset of every other set.
What is the difference between proper and improper subsets?
S is a proper subset of T ifall elements of S are in T andthere is at least one element of T which is not in S.S is an improper subset if the second condition does not apply.
What is the difference between subset and equal sets?
Ah, what a lovely question! A subset is a set that contains only some elements of another set, while an equal set has the exact same elements as another set. It's like painting a beautiful landscape with different colors - each set has its own unique beauty, whether it's a smaller subset or an equal set. Just remember, every set is special in its own way!
The 2 kinds of subsets proper and improper?
If A is a subset of B, then all elements in set A are also in set B. If it is a proper subset, then there are also elements in B that are not in A.
