Questions

1. Give an example of a system of two linear inequalities in two unkowns that has no solution.

2. The solution to a system of linear inequalities is a triangle with vertices at (0, 1), (4, 5), and (8, 1). If all edges of the triangle are included in the solution, find the system of inequalities.

3. Find the vertices (corners) of the solution to the system of inequalities from example four of the section on systems of linear inequalities.

4. Give an example of a system of linear inequalities that is unbounded. Give one that is bounded.