Which inequality is correctly represented by this graph
a) 3x-y> 3
b) x-3y> =2
c) 3x-y< =3
d)x-3y> 2

The correct option is A.

Step-by-step explanation:

If a line passing through two points then the equation of line is

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

The (0,0) is not in the solution set. So check the equation be (0,0).

This condition is false if the sign of inequality is < or ≤. Since the related line is a solid line, therefore the sign of inequality must be <.

The required inequality is

It is also written as

Therefore the correct option is A.