To answer this question, we will need to try out the points in the options.
The inequalities we are working with are as follows;
y < 2x + 2
and y ≤ -5/2x - 5 which can be rewritten as y + 5 ≤ -5/2x
Whatever points we are choosing should not satisfy both inequalities.
Let us start with the first point;
(-4, -8)
here x = -4 and y = -8
For the first inequality, we have
-8 < 2(-4) + 2
-8 < -8 + 2
-8 < -6
This is correct since in the real sense, -8 is less than -6
For the second inequality;
-8 + 5 ≤ -5/2(-4)
-3 ≤ -10
This is incorrect because -3 is greater than -10.
So since it does not work, then the point cannot be a solution to the system of linear inequalities
The correct answer is the point (-4,-8)