For example,
RegionPlot[{x + y > 1, x - y > 1, y - x > 1, -x - y > 1}, {x, -2, 2}, {y, -2, 2}]
can be somehow written as:
RegionPlot[{Abs[x] + Abs[y] > 1}, {x, -2, 2}, {y, -2, 2}]
My question is whether Mathematica can simplified the first group of expressions to the second one?
Updates
I think I do not make the question clear. I think conditions in
{x + y > 1, x - y > 1, y - x > 1, -x - y > 1}
describing the same region as
{Abs[x] + Abs[y] > 1}
Therefore, the question is whether {x + y > 1, x - y > 1, y - x > 1, -x - y > 1}
can be reduce to {Abs[x] + Abs[y] > 1}
. or, generally, is there any method can simplify the expressions used to describe a region?