Chapter 11.7, Problem 47AYU

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

$\{\begin{array}{l}x\ge 0\\ y\ge 0\\ x+y\ge 2\\ 2x+3y\le 12\\ 3x+y\le 12\end{array}$

To determine

To graph: The system of inequalities.

Answer to Problem 47AYU

Solution:

Bounded.

Explanation of Solution

Given:

$x \ge 0$

$y \ge 0$

$x + y \ge 2$

$2x + 3y \le 12$

$3x + y \le 12$

Graph:

Interpretation:

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