Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Write a system of linear inequalities with the given characteristic:

-all solutions are in quadrant 3

Sagot :

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

[tex]x<0 \\ y<0[/tex]

You can modify it to get other examples:
[tex]x+1<1 \\ 2y-4<-4 \\ \\ -x>0 \\ y+2<2 \\ \\ \frac{x+y}{2}<\frac{1}{2}y \\ -2y+x>x-y[/tex]
AL2006

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 .