Chapter 11.7, Problem 50AYU

In Problems 43-52, graph each system of linear inequalities. Tell whether the graph is bounded or unbounded, and label the corner points.

$\{\begin{array}{l}x\ge 0\\ y\ge 0\\ x+y\ge 2\\ x+y\le 8\\ x+2y\ge 1\end{array}$

To determine

To graph: The system of inequalities.

Answer to Problem 50AYU

Solution:

Bounded.

Explanation of Solution

Given:

$x \ge 0$

$y \ge 0$

$x + y \ge 2$

$x + y \le 8$

$x + 2y \ge 1$

Graph:

Interpretation:

The shaded area represents the given system of inequalities and the graph is bounded.