The image shows a graph with a line, and the problem asks to "Identify the CORRECT inequality for the graph."

From what I can see:

• The line appears to have a positive slope and goes through the origin.
• The inequality involves shading either above or below the line, which will determine whether it's a "greater than" or "less than" inequality.

Steps to analyze the inequality:

1. Find the equation of the line: The line seems to pass through the origin (0,0) and has a positive slope. Using two points from the line, you can calculate the slope $m$ and form the equation $y = mx + b$, where $b = 0$ since the line passes through the origin.

2. Determine the inequality: Depending on whether the area above or below the line is shaded, the inequality will either be:

   • $y > mx$ if the region above the line is shaded.
   • $y < mx$ if the region below the line is shaded.

3. Look at the type of line: If the line is solid, it includes the boundary, meaning the inequality will have $\geq$ or $\leq$. If the line is dashed, it means the boundary is not included, and the inequality will have $>$ or $<$.

Would you like to confirm this information or discuss any further details?

Here are 5 follow-up questions to expand on this:

1. What points can you identify from the graph to calculate the slope?
2. Is the line solid or dashed in the graph, and how does that impact the inequality?
3. Is the region above or below the line shaded in the graph?
4. What are the possible forms of inequality for the graph (with or without equal sign)?
5. How does the slope of the line affect the direction of the inequality?

Tip: Always remember that the direction of the inequality depends on the shading (above or below) and the boundary line's appearance (solid or dashed).