We will proceed to graph each case to determine the solution of the problem.
using a graphing tool
case A
[tex]x\leq -2[/tex]
[tex]y\leq-x-3[/tex]
see the attached figure N [tex]1[/tex]
The system A is not the graphed one
case B.
[tex]x < -3[/tex]
[tex]y < -x-2[/tex]
see the attached figure N [tex]2[/tex]
The system B is not the graphed one
case C.
[tex]x < -2[/tex]
[tex]y\leq-x+2[/tex]
see the attached figure N [tex]3[/tex]
The system C is not the graphed one
case D.
[tex]x < -2[/tex]
[tex]y\leq-x-2[/tex]
see the attached figure N [tex]4[/tex]
The system D is the graphed one
