To find the inverse of a relation, we need to swap the x and y coordinates of each point. The inverse of the given relation is:
{(-2, 1), (3, 2), (-3, 3), (2, 4)}
Therefore, the inverse of the relation {(1,-2), (2,3), (3,-3), (4,2)} is {(-2,1), (3,2), (-3,3), (2,4)}.