https://file.aiquickdraw.com/mathbot/file/1726089217920dou8z2vo.jpg

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).

The graph below represents which inequality?

Learn how to graph linear inequalities, focusing on the inequality y ≥ 3x - 1. This problem helps students understand graph shading, solid vs. dashed boundary lines, and slope-intercept form. Suitable for students in Grades 8-10.

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