Q. 44 - 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  

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

Step-by-Step Solution

Answer

The shaded region shows the unbounded region 

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

Step 2. Graph the inequality x + y ≥ 4

Step 3. Graph the inequality 2 x + 3 y ≥ 6

Step 4. Plot the graph