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.
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
no
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 example of 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.
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.
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.
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
no
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.
proper subset {1,2} improper subset {N}
give example of subset
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.
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.
Equal sets are the sets that are exactly the same, element for element. A proper subset has some, but not all, of the same elements. An improper subset is an equal set.
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.