Hi. Don't see what the problem is. You can either load the (obsolete) package containing ComplexInequalityPlot, or just use RegionPlot:

<< Graphics`InequalityGraphics`;

ComplexInequalityPlot[1/2 <= Abs[z] <= 1, {z}]

RegionPlot[1/2 <= Abs[z] <= 1 /. z -> x + I y, {x, -1, 1}, {y, -1, 1}]