39.4k views
0 votes
Which system of linear inequalities has exactly one solution? x<=3;x>=3 y<=3;y>=3 x<3;x>3;y<4;y<4 x<=3;x>=3;y<=4;y>=4

User Deepak Ror
by
8.0k points

1 Answer

6 votes

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.

User Adam Marsh
by
7.4k points