we have the system
[tex]\begin{gathered} x+y\leq4 \\ y\leq-x+4 \end{gathered}[/tex]
The solution to the first inequality is the shaded area below the solid line y=-x+4
[tex]x\ge2[/tex]
The solution to the second inequality is the shaded area to the right of the solid vertical line x=2
therefore
The solution to the system is the shaded area below the solid line y=-x+4 and to the right of the solid vertical line x=2
using a graphing tool
see the attached figure below
The solution is the triangular area
