Try this:
Manipulate[
RegionPlot[{a x y - b > 0, a x y + b < 0}, {x, -2, 2}, {y, -2, 2}],
{{a, .5}, 0, 1}, {{b, .25}, 0, .5}]
Try this:
Manipulate[
RegionPlot[{a x y - b > 0, a x y + b < 0}, {x, -2, 2}, {y, -2, 2}],
{{a, .5}, 0, 1}, {{b, .25}, 0, .5}]