# Math Insight

### Definition of superset

A set A is a superset of another set B if all elements of the set B are elements of the set A. The superset relationship is denoted as A \supset B.

For example, if A is the set \{ \diamondsuit, \heartsuit, \clubsuit, \spadesuit \} and B is the set \{ \diamondsuit, \clubsuit, \spadesuit \}, then A \supset B but B \not\supset A. Since A contains elements not in B, we can say that A is a proper superset of B. Or if I_1 is the interval [0,2] and I_2 is the interval [0,1], then I_1 \supset I_2.