Which inequality is represented by this graph?

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