The graph of a system of inequalities is shown.
Select all the points below that are solutions to this system of inequalities.
(Select all that apply.)
(-4,-3)
(4,1)
(-4,-1)
(3,4)
(8,-2)
(-4,7)
From the graph, we can see that the points that are shaded and lying within the shaded region are the solutions to the system of inequalities.
Looking at the points provided:
(-4,-3) - This point is shaded and lies within the shaded region. It satisfies the inequalities.
(4,1) - This point is not shaded and does not lie within the shaded region. It does not satisfy the inequalities.
(-4,-1) - This point is not shaded and does not lie within the shaded region. It does not satisfy the inequalities.
(3,4) - This point is shaded and lies within the shaded region. It satisfies the inequalities.
(8,-2) - This point is not shaded and does not lie within the shaded region. It does not satisfy the inequalities.
(-4,7) - This point is not shaded and does not lie within the shaded region. It does not satisfy the inequalities.
Therefore, the solutions to the system of inequalities are:
(-4,-3) and (3,4).