Question

The system of inequalities given below is sketched in the graph.

y≤−1.75x+12.5,
y≤0.5x−1​
The unfeasible region is unbounded___

Answer 1

The unfeasible region in the system of inequalities is bounded.

Step-by-step explanation:

To determine if the unfeasible region is unbounded, we need to analyze the given system of inequalities. The first inequality, y ≤ -1.75x + 12.5, represents a line with a negative slope. The second inequality, y ≤ 0.5x - 1, represents a line with a positive slope. The region where both inequalities are satisfied forms the unfeasible region. Since the lines have opposite slopes, the unfeasible region is bounded.