# Math Insight

### Proper superset definition

A proper superset of a set A is a superset of A that is not equal to A. In other words, if B is a proper superset of A, then all elements of A are in B but B contains at least one element that is not in A.

For example, if A =\{1,3,5\} then B=\{1,3,4,5\} is a proper superset of A. The set C=\{1,3,5\} is a superset of A, but it is not a proper superset of A since C=A. The set D=\{1,3, 7\} is not even a superset of A, since D does not contain the element 5.