Solving inequalities is a very important topic in computational algebra. In fact, the most important computer algebra systems include sophisticated tools for solving different kinds of inequalities in both symbolic and graphical ways. This paper presents a new Maple package, IneqGraphics, for displaying the two-dimensional solution sets of several inequalities. The package also deals with inequalities involving complex variables by displaying the corresponding solutions on the complex plane. The output obtained is consistent with Maple's notation. The performance of the package is discussed by means of several illustrative and interesting examples.