1. The problem is to solve the inequality $y > -\frac{3}{2}x - 3$ and understand its meaning. 2. This inequality represents all points $(x,y)$ above the line $y = -\frac{3}{2}x - 3$. 3. The line equation is $y = -\frac{3}{2}x - 3$. 4. The slope is $-\frac{3}{2}$, which means the line goes down 3 units for every 2 units it moves right. 5. The y-intercept is $-3$, so the line crosses the y-axis at $(0,-3)$. 6. To graph the inequality, first draw the line $y = -\frac{3}{2}x - 3$. 7. Since the inequality is $y > -\frac{3}{2}x - 3$, shade the region above the line. 8. Points in this shaded region satisfy the inequality. 9. For example, test the point $(0,0)$: $0 > -\frac{3}{2}(0) - 3$ simplifies to $0 > -3$, which is true, so $(0,0)$ is in the solution set. Final answer: The solution is all points above the line $y = -\frac{3}{2}x - 3$.