Answer:
The system of linear inequalities is
Step-by-step explanation:
From the given graph it is noticed that we have two lines one is solid and second is dashed.
The solid line passing through the points (0,1) and (-1,0). The dashed line passing through the points (0,-2) and (-2,0).
If line passing through two points, then the equation of line is
The related equation of solid line is
Similarly the related equation of dashed line is
From the given figure it is noticed that the point (0,2) is in the shaded region, it means the point (0,2) will satisfy the inequalities.
This statement will true if the sign of inequality is because It is a solid line.
This statement will true if the sign of inequality is > because It is a dashed line.
The system of linear inequalities is