Answer:
A is correct graph or solution set.
Step-by-step explanation:
Given:
For first equation : [tex]y\geq x-5[/tex]
x : 0 5
y : -5 0
Test point: (0,0)
[tex]0\geq -5[/tex]
True, Shade towards origin.
For second equation : [tex]y<-x+4[/tex]
x : 0 4
y : 4 0
Test point: (0,0)
[tex]0<4[/tex]
False, Shade away from origin.
Please find attachment for graph.
Hence, A is correct