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.

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

Short answer

The graph has a bounded solution

Step-by-step solution

Step 1. Graph the inequalities x≥0, y≥0 and x+y≥12 

Step 2. Graph the inequality 2x+3y≤12

Step 3. Graph the inequality 3x+y≤12

Step 4. Plot the graph