The horizontal line has equation [tex]y=3[/tex]. The line is solid, and everything below it is shaded, which translates to the inequality [tex]y\le3[/tex]. (so not B nor D)
The dashed line must have equation [tex]y=2x-1[/tex]. Because it's dashed, the inequality is strict. Pick any point in the shaded region, (0, 0) for instance, and compare both sides of this equation. (0, 0) means both [tex]x=0[/tex] and [tex]y=0[/tex], so on the left side we have 0, and on the right we have -1. 0 > -1, so the inequality must be [tex]y>2x-1[/tex].
This means the answer is A.
