No, (-2, -3) is not a solution of the graphed system of inequalities.
How to determine solutions to inequalities on a graph.
The solution to the system of inequalities is the region where all the shaded areas overlap. This is the area common to all the individual solution regions.
So, (-2, -3) is not a solution of the graphed system of inequalities. it lies at region outside the feasible area of the inequalities.
Points such as (-2,2), (-3,2) (-4,3) etc are solutions to the system of inequalities because these points lie at the region where the shaded solution regions of the two inequalities overlap.
Therefore, No, (-2, -3) is not a solution of the graphed system of inequalities