Q. 48 - 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.

$\left\{\begin{array}{l}x\ge 0\\ y\ge 0\\ x+y\ge 1\\ x+y\le 7\\ 2x+y\le 10\end{array}\right.$

Step-by-Step Solution

Answer

It is a bounded graph.

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

Step 2. Graph the inequality x + y ≥ 1 and x + y ≤ 7

Step 3. Graph the inequality 2 x + y ≤ 10

Step 4. Plot the graph