Respuesta :

Given the line x+y=5, solving for y,

[tex]\Rightarrow y=5-x[/tex]

Notice that, at x=5, the values of y in the shaded region are y=1,2,3,...>0

Therefore,

[tex]\Rightarrow y\ge5-x[/tex]

The inequality whose solution is the shaded region is y>=5-x