Final answer:
The graph of the inequality x³y < 3 is a shaded region in the coordinate plane.
Step-by-step explanation:
The graph of the inequality x³y < 3 is a region in the coordinate plane.
To graph this inequality, we can first graph the equation x³y = 3. This equation represents a curve in the coordinate plane.
To determine which side of the curve to shade, we can choose a point that is not on the curve and substitute its coordinates into the inequality. If the inequality is true, we shade that side; if it is false, we shade the other side.
For example, if we substitute the point (0,0) into the inequality, we get 0³(0) < 3, which simplifies to 0 < 3. Since this is true, we shade the side of the curve that contains the origin.
The shaded region represents the graph of the inequality x³y < 3.