Question

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

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

Short answer

The shaded region shows the bounded region

Step-by-step solution

Step 1. Graph the inequality x≥0 and y≥0

Step 2. Graph the inequality 2x+y≤6

Step 3. Graph the inequality x+2y≤6

Step 4.  Plot the graph