To determine which equation matches the inequality in the given graph, we need to analyze the graph's characteristics:
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Line Type: If the line on the graph is solid, the inequality will be "greater than or equal to" (≥) or "less than or equal to" (≤). If the line is dashed, the inequality will be "greater than" (>) or "less than" (<).
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Shading: If the region above the line is shaded, the inequality will be greater than (>) or greater than or equal to (≥). If the region below the line is shaded, the inequality will be less than (<) or less than or equal to (≤).
Assuming the following:
- The equation mentioned is \( y = \frac{4}{5}x - 3 \).
- If the graph has a solid line and is shaded above the line, the inequality is \( y \geq \frac{4}{5}x - 3 \).
- If the graph has a solid line and shaded below the line, it would be \( y \leq \frac{4}{5}x - 3 \).
- For a dashed line with shading above, it would be \( y > \frac{4}{5}x - 3 \).
- If it were dashed with shading below, then the inequality would be \( y < \frac{4}{5}x - 3 \).
Based on this analysis, you would choose the appropriate inequality based on the characteristics of the line and the shading on the graph.
If you can provide more details or clarify whether the line is solid or dashed and the direction of shading, I could offer a more precise answer.