1. **Problem Statement:** Determine the inequality represented by the graph with a red line passing through points near $(0,5)$ and $(2.5,0)$, and the shaded region to the right of the line. 2. **Identify the line equation:** The line passes through $(0,5)$ and $(2.5,0)$. Calculate the slope $m$: $$m = \frac{0 - 5}{2.5 - 0} = \frac{-5}{2.5} = -2$$ 3. **Write the line equation in slope-intercept form:** Using point-slope form with point $(0,5)$: $$y = mx + b = -2x + 5$$ 4. **Determine the inequality direction:** The shaded region is to the right of the line, which corresponds to $y$ values greater than or equal to the line. Thus, the inequality is: $$y \geq -2x + 5$$ 5. **Summary:** The inequality representing the shaded region is: $$\boxed{y \geq -2x + 5}$$