In the given diagram the co-ordinates of B and C are $(-2,-1)$ and $(-2,8)$ respectively. The shaded region inside the $\triangle ABC$ represented by three inequalities. One of these is $x + y <=6$. Write down the co-ordinates of A and other two inequalities. Also calculate the maximum value of $x +2y$ from the values which satisfy all three inequalities.
Actually I thought about it too much but couldn't get enough idea to start. Can anyone help me?
Help much appreciated