To determine which inequality corresponds to a given graph, we would typically need to know the specific characteristics of the graph, such as the shaded region and the boundary line (solid or dashed).
However, without the visual representation of the graph, I can only guide you on how to solve these inequalities mathematically:
-
\( x + 3.5 \geq -5.5 \):
- Simplifying gives \( x \geq -5.5 - 3.5 = -9 \).
-
\( -5.5x + 2.5 \geq 4.5 \):
- Simplifying gives \( -5.5x \geq 4.5 - 2.5 = 2 \) which leads to \( x \leq -\frac{2}{5.5} \) (or approximately \( x \leq -0.3636 \)).
-
\( x + 3.5 \geq 1.5 \):
- This simplifies to \( x \geq 1.5 - 3.5 = -2 \).
-
\( x - 3.5 \geq 1.5 \):
- This simplifies to \( x \geq 1.5 + 3.5 = 5 \).
Based on these solutions, if you had a graph where the solution set extends to the right and includes values greater than or equal to a certain point, you'd choose the inequality that represents that range.
If you need to select among those options and you can identify from the graph that it shows solutions for values greater than or equal to a particular number, you would match it accordingly.
Without the exact graph, it is not possible to select the best option. Please describe the graph or indicate the boundary line it represents, and I can assist you further!