I'm working on a beam physics problem, where I'm trying to plot the 1D parcel of the space-phase distribution (x-x '). There are two diaphragms in the beam path. Whatever the case may be, my question is the following. I have the following parametric plot:

```
ParametricPlot[{u + 2800*v, v}, {u, -1/2, 1/2}, {v, -4, 4},
PlotRange -> {{-4, 4}, {-1/1000, 1/1000}}, AspectRatio -> 1,
AxesLabel -> {"x", "x'"}]
```

I now want to limit the x coordinates as $ -3 / 2 leq x leq $ 3/2in other words, only the part of the region for which $ -3 / 2 leq u + 2800 v leq 3/2 $ holds, is the desired region. How can I implement this?