You can rewrite the inequality as
[tex] y > \cfrac{5}{2}\ x - 3 [/tex]
Note that
[tex] y = f(x) = \cfrac{5}{2}\ x - 3 [/tex]
is the equation of the line drawn in the pictures. This means that, for every point on the line, the y coordinate is exactly image of the x coordinate, i.e. [tex] f(x) [/tex]
The inequality is satisfied by all points whose y coordinate exceeds the image of the x coordinate. Since the y axis is positively oriented upwards, a greater value for the y coordinate means that the point has to be higher than the line.
Also, since the equality inlves a [tex] > [/tex] and not a [tex] \geq [/tex] sign, the line itself is excluded.
So, the correct graph is the second one.
