Q. 43 - 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 

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

Step-by-Step Solution

Answer

The shaded region shows the bounded region

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

Step 2. Graph the inequality 2 x + y ≤ 6

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

Step 4. Plot the graph