The shaded area represents the inequality
The equations are in the form of the equation y=mx+c where m is the slope of the graph and c is the y intercept except for the inequality sign in place of '='.
The given graph has a negative slope
So, here options (B) or (c) has negative slopes if we compare the inequallity equations with y=mx+c
Now , we take a point (2,0) which comes in the shaded part.
For option(B),y>-4x+3
Substitute (x,y)=(2,0) in this equation
We write it as 0>-4X2+3
0>-8+3
0>-5 is true
Now consider option(D), y<-4x+3.
Substitute(x,y)= (2,0) in y<-4x+3.
Then, 0<-4X2+3
0<-8+3
0<-5 is incorrect.
So, the answer is option(B)
