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

$\left\{\begin{array}{l}x\ge 0\\ y\ge 0\\ x+y\ge 4\\ 2x+3y\ge 6\end{array}\right.$

Short answer

The shaded region shows the unbounded region

Step-by-step solution

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

Step 2. Graph the inequality x+y≥4

Step 3. Graph the inequality 2x+3y≥6

Step 4. Plot the graph