Q. 46 - 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. 

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

Step-by-Step Solution

Answer

The graph has bounded solution

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

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

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

Step 4. Plot the graph