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.

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

Short answer

The graph has bounded solution

Step-by-step solution

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

Step 2. Graph the inequalities 3x+y≤6

Step 3.  Graph the inequalities 2x+y≤2

Step 4. Plot the graph