figure it out
Subsets is one type of an sets
Partitioning is dividing a set of things into subsets such that the union of all the subsets is the original set and the intersection of any two subsets is the null set. That is, between them, the subsets account for the whole of the original set and there are no elements in more than one subset.
meaning of proper subsets
An element doesn't have subsets. Sets can have subsets.
There are no subsets of irrational numbers. There are subsets of rational numbers, however.
Elements belong to subsets: subsets contain elements (from the parent set).
Elements can belong to subsets. Subsets can be elements of sets that are called "power sets".
32 different kinds of subsets
Subsets of Sets was created in 2001-08.
5 subsets of 4 and of 1, 10 subsets of 3 and of 2 adds up to 30.