Q. 47 - Precalculus Enhanced with Graphing Utilities

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. 

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

Step-by-Step Solution

Answer

The graph has a bounded solution

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

Step 2. Graph the inequality 2 x + 3 y ≤ 12

Step 3. Graph the inequality 3 x + y ≤ 12

Step 4. Plot the graph