Question: How do I intersect 3 areas with this cool package ?

I really like this package:

But it seems to be impossible to intersect more than two areas:

inequalityplot(sin(x)+4*y>8 and x*y>1 and y<3-x,x=-2..4,y=-2..4,feasiblepoints=30);

It works if I leave out a condition:

inequalityplot(sin(x)+4*y>8 and x*y>1,x=-2..4,y=-2..4,feasiblepoints=30);

Or is there another way to do this ?

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