Final answer:
The solution to the system of inequalities x + 3y < -3 and x > 3 is the region where the shading below the line x + 3y = -3 overlaps with the shading to the right of the line x = 3.
Step-by-step explanation:
The problem given involves a system of inequalities, specifically x + 3y < -3 and x > 3. To find the solution region, one must graph both inequalities on the Cartesian plane. For the first inequality, x + 3y < -3, you would graph the line x + 3y = -3 and shade the region below it, as the inequality is less than. For x > 3, you would draw a vertical line along x = 3 and shade to the right, because x must be greater than 3. The solution to the system is the region where both shadings overlap.