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This is what you asked for:
Manipulate[ RegionPlot[a x y - b > 0, {x, 0, 1}, {y, 0, 1}], {{a, .5}, 0, 1}, {{b, .25}, 0, .5}]
Try thisThis is what you asked for:
Manipulate[ RegionPlot[{aRegionPlot[a x y - b > 0, a x y + b < 0}, {x, -20, 21}, {y, -20, 21}], {{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}]
Manipulate[ RegionPlot[{Sin[aa x y] Sin[b xy y]- yb > 0, Sin[aa x y] Sin[b xy y]+ yb < 0}, {x, -2, 2}, {y, -2, 2}], {{a, 1.5}, 0.1, 31}, {{b, 1.25}, 0.1, 3.5}]
Manipulate[ RegionPlot[{Sin[a x y] Sin[b x y] y > 0, Sin[a x y] Sin[b x y] y < 0}, {x, -2, 2}, {y, -2, 2}], {{a, 1}, 0.1, 3}, {{b, 1}, 0.1, 3}]
