Chapter 11.7, Problem 46AYU

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

$\{\begin{array}{l}x\ge 0\\ y\ge 0\\ 3x+y\le 6\\ 2x+y\le 2\end{array}$

To determine

To graph: The system of inequalities.

Answer to Problem 46AYU

Solution:

Bounded.

Explanation of Solution

Given:

$x \ge 0$

$y \ge 0$

$3x + y \le 6$

$2x + y \le 2$

Graph:

Interpretation:

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