The correct option is A.
Step-by-step explanation:
If a line passing through two points then the equation of line is
![y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)](/tpl/images/0240/4635/538b0.png)
From the given graph it is clear that the related line passing through the points (0,-3) and (1,0). So, the equation of related line is
![y-(-3)=\frac{0-(-3)}{1-0}(x-0)](/tpl/images/0240/4635/5067c.png)
![y+3=3x](/tpl/images/0240/4635/e1aa0.png)
The (0,0) is not in the solution set. So check the equation be (0,0).
![0+3=3(0)](/tpl/images/0240/4635/7fb4e.png)
![3=0](/tpl/images/0240/4635/5b305.png)
This condition is false if the sign of inequality is < or โค. Since the related line is a solid line, therefore the sign of inequality must be <.
The required inequality is
![y+3](/tpl/images/0240/4635/6d108.png)
![3](/tpl/images/0240/4635/58b36.png)
It is also written as
![3x-y3](/tpl/images/0240/4635/c64bf.png)
Therefore the correct option is A.