The graph in the image shows a shaded region to the right of a solid line. The equation of the line appears to be $y = 3x - 1$. The solid line indicates that the inequality is inclusive (either $\leq$ or $\geq$).

The shaded region above the line suggests that the inequality is $y \geq 3x - 1$.

Therefore, the correct answer is:

$y \geq 3x - 1$.

Let me know if you need further clarification!

Here are 5 related questions to expand your knowledge:

1. How would the graph change if the inequality was $y < 3x - 1$?
2. How can you determine the slope and y-intercept from the equation $y = 3x - 1$?
3. What does the shading represent in an inequality graph?
4. How would you graph $y \leq -2x + 3$?
5. What does it mean when a line is dashed instead of solid in an inequality graph?

Tip: When solving inequalities involving graphs, always pay attention to whether the boundary line is solid or dashed to determine if it's inclusive or strict (non-inclusive).