Find the linear c

Consider A:

Given line x - y = 1

⇒y = x - 1

As the region given in the figure is above the y - intercept’s coordinates (0, - 1),

⇒y ≥ x - 1

⇒x - y≤1

Consider B:

Given line 2x + y = 2

⇒y = 2 - 2x

As the region given in the figure is above the y - intercept’s coordinates (0,2),

⇒y ≥ 2 - 2x

⇒2x + y ≥ 2

Consider C:

Given line x + 2y = 8

⇒2y = 8 - x

⇒y = 4 -

As the region given in the figure is below the y - intercept’s coordinates (0,4),

⇒y≤4 -

⇒2y≤8 - x

⇒x + 2y≤8

Consider D:

It is the region right side of the Y - axis.

It is x ≥ 0.

All the results derived:

x - y≤1

2x + y ≥ 2

x + 2y≤8

x ≥ 0