One possible set, out of infinitely many, is positive irrational numbers.
There are no subsets of irrational numbers. There are subsets of rational numbers, however.
Elements can belong to subsets. Subsets can be elements of sets that are called "power sets".
It is not possible to answer the question without information about the set B.All that can be said is that if set B has n elements, that is, if the cardinality if B is n, then there are 2n possible subsets of B.
5 subsets of 4 and of 1, 10 subsets of 3 and of 2 adds up to 30.
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A set with 27 members has 2^27 = 134217728 subsets - including itself and the null set.
It is impossible. If a set has n elements, the cardinality of its power set [the number of its subsets] is 2n which must be even.
meaning of proper subsets
One possible set, out of infinitely many, is positive irrational numbers.
In a subset each element of the original may or may not appear - a choice of 2 for each element; thus for 3 elements there are 2 × 2 × 2 = 2³ = 8 possible 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.
There are 8 different subsets. The null set. {x} {y} {z} {x y} {x z} {y z} {x y z}
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".
It is not possible to answer the question without information about the set B.All that can be said is that if set B has n elements, that is, if the cardinality if B is n, then there are 2n possible subsets of B.