Which system of linear inequalities is represented by the graph?

y > 1/3x + 3 and 3x – y > 2
y > 1/2x + 3 and 3x – y > 2
y > 1/3x + 3 and 3x + y > 2
y > 1/3x + 3 and 2x – y > 2

For the red line, we have:
 
gradient () = 1/3
y-intercept = 3

Equation of straight line is given by , where  is the gradient and  is where the line intercept the y-axis

So we have, 

The shaded part is above the line, hence the first inequality is


The black line, we have
gradient,  = 3
y-intercept = -2


, rearranging gives


The shaded region is to the right of the line, hence the inequality is


Note: The first option should be the correct answer but the inequality sign for y > 1/3x + 3 should be