The inequality which matches the graph is y > 3x + 1.
The other inequalities are not correct because they do not match the shaded region on the graph.
y ≥ 3x + 1 would include the line y = 3x + 1 itself, but the shaded region does not include the line.
y ≤ 3x + 1 would include the region below the line y = 3x + 1, but the shaded region is above the line.
y < 3x + 1 would exclude the line y = 3x + 1 itself, but the shaded region includes the line.
Therefore, the only inequality which matches the graph is y > 3x + 1.