First, we draw the line 4x + 5y = -20
x      0       -5
y      -4       0
Now, consider the point O(0, 0), i.e, origin.
Substitute in inequality 4x + 5y ≥ -20,
i.e, 4(0) + 5(0) ≥ - 20  or 0 ≥ - 20 which is true.
∴ origin is solution of inequalityÂ
4x + 5y ≥ -20
Therefore, we mark that region which contains origin.
For x + 1 ≤ 0  or x ≤ -1, we mark the region on left side of line x = -1.
For y ≤ -1, we mark the region below the line y = -1.
Now, we shade the common region. The required solution is given by the triangular region ABC as shown below in the graph.