Given the following inequalitites:
We are going to evaluate each point:
A= (-10 , 1)
B= (-3, 7 )
C= ( 5 , 1)
D= (-3 , -5)
The point A:
As -3 is not greater or equal to 1 the point A does not work.
Point B:
1/2 is not greater or equal to seven, the point B does not work.
Point C.
9/2 is greater than 1, now we have to evaluate the other inequalities in the same point.
As -3 isn't greater than 1, the point c does not work.
The point D.
The first one is true, -1/2 is greater than -3.
The second one is false, the point D does not work.
Point E (0 , 0).
The first is true.
Second one:
The second one is true.
Third one.
The point E does not work, because -3 is not greater or equal to -3.
Answer: no point is a solution of the system.