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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
If the set has n elements then it has 2n subsets.
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!
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.
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}.