Question

Write a system of linear inequalities with the given characteristic:

-all solutions are in quadrant 3

Answer 1

If all solutions are points in Quadrant-3, then the x-coordinates
and y-coordinates of all those points are all negative.

I believe the only possible system of liner inequalities whose
solutions have those characteristics is . . .

x < 0
y < 0 .

Answer 2

In quadrant III x-coordinates are less than 0 and y-coordinates are less than 0.


`x<0 \\ y<0`

You can modify it to get other examples:

`x+1<1 \\ 2y-4<-4 \\ \\ -x>0 \\ y+2<2 \\ \\ (x+y)/(2)<(1)/(2)y \\ -2y+x>x-y`