The shaded region in the graph is shown by the inequalities (Constraints):

1
y ≥ - 4; y < x + 3; y ≤ - 3x + 3
2
y ≥ -4; y < x + 3; y ≥ -3x + 3
3
y ≤ -4; y < x + 3; y ≥ -3x + 3
4
y ≤ -4; y < x + 3; y ≤ -3x + 3

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