1. The problem is to write an inequality representing the graph described. 2. The graph shows a dashed line passing through points (0,4) and (2,0). 3. First, find the equation of the line using the slope formula: $$m = \frac{0 - 4}{2 - 0} = \frac{-4}{2} = -2$$ 4. Using point-slope form with point (0,4): $$y - 4 = -2(x - 0)$$ $$y = -2x + 4$$ 5. Since the line is dashed, the inequality is strict (no equal sign). 6. The shaded area is above the line, so the inequality is: $$y > -2x + 4$$ Final answer: The inequality representing the graph is $y > -2x + 4$.