Answer with Step-by-step explanation:
As we can clearly see the point (0,0) lies in the shaded region so,it must satisfy the inequality
Putting (0,0) in 3x+2>y+6
⇒ 2>6 which is a contradiction
So, graph is not of this inequality
Putting (0,0) in 2x-2<y-11
⇒ -2<-11 which is a contradiction
So, graph is not of this inequality
The point (0,2) lies in the shaded region so,it must satisfy the inequality
Putting (0,2) in 2y+3<6-x
⇒ 2×2+3<6
⇒ 7<6 which is a contradiction
So, graph is not of this inequality
Hence, the correct option is:
2x+3>y-6