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