The system of inequalities is:
y > x
y < -x
A(1, -7)..... Is not a solution....because -7 is NOT bigger than 1
B(-1,6) ......Is not a solution....because 6 is bigger than -1, but 6 is NOT smaller than -(-1) = 1
C(1,7).........Is not a solution...because 7 is bigger than 1, but 7 is NOT smaller than -1
D(1, -5)......Is not a solution....because -5 is NOT bigger than 1