The difference between a subset and a superset lies in the relationship between two sets and their elements. A subset of a set A is any set B such that every element of B is also an element of A. In other words, a subset contains only some of the elements of the original set. For example, if A = {1, 2, 3, 4}, then B = {2, 4} is a subset of A because all elements in B are also in A. A strict subset is a subset that is not equal to the original set, meaning B must have at least one fewer element than A. A superset of A is any set C such that A is a subset of C. In other words, a superset contains all the elements of the original set and possibly additional elements. For example, if A = {1, 2, 3, 4}, then C = {1, 2, 3, 4, 5} is a superset of A because A is a subset of C and C contains an additional element (5) that is not in A. In summary: A subset contains only some of the elements of the original set.
A superset contains all the elements of the original set and possibly additional elements.
A strict subset is a subset with at least one fewer element than the original set.