Answer:
B.
Step-by-step explanation:
Let's plug in and find out.
A. y-4<3x-5 with (x,y)=(0,0)
0-4<3(0)-5
-4<-5
This is false because -5 is not bigger than -4.
B. y-5<3x-4 with (x,y)=(0,0)
0-5<3(0)-4
-5<-4
This is true because -4 is bigger than -5.
C. y+5<3x+4 with (x,y)=(0,0)
0+5<3(0)+4
5<4
This is false because 4 is not bigger than 5.
D. y+5<3x-4 with (x,y)=(0,0)
0+5<3(0)-4
5<-4
This is false because -4 is not bigger than 5.
The only true inequality I got from plugging in (0,0) for (x,y) was B so that your answer.