Final answer:
The solution set for the inequality y - 9 > -1.5x is the area above the line y = 9 - 1.5x on a coordinate plane, excluding the line itself.
Step-by-step explanation:
The solution set for the inequality y - 9 > -1.5x represents all the coordinate pairs (x, y) that satisfy the condition when plotted on a coordinate plane. To find the solution set, we can rewrite the inequality in a more standard form by adding 9 to both sides, which gives us y > 9 - 1.5x.
This inequality represents a region in the coordinate plane that is above the line defined by the equation y = 9 - 1.5x. This line has a y-intercept at (0,9) and a slope of -1.5, meaning that for every 1 unit increase in x, y decreases by 1.5 units.
The solution set is the area above this line, not including the line itself since the inequality is strict (greater than, not greater than or equal to).