Final answer:
The system of linear inequalities that has exactly one solution is x<=3; x>=3; y<=3; y>=3.
Step-by-step explanation:
The system of linear inequalities that has exactly one solution is x<=3; x>=3; y<=3; y>=3.
To understand why this system has exactly one solution, we can graph the inequalities on a coordinate plane. The inequalities x<=3 and x>=3 represent vertical lines at x=3, while the inequalities y<=3 and y>=3 represent horizontal lines at y=3.
The only point that satisfies all four inequalities is the point (3, 3), so the system has exactly one solution.