Question

Graph the system of inequalities. Tell whether the graph is bounded or unbounded, and label all corner points.

$\left\{\begin{array}{l}x\ge 0\\ y\ge 0\\ x+2y\ge 8\\ 2x-3y\ge 2\end{array}\right.$

Short answer

The graph is unbounded

Step-by-step solution

Step 1. Given information

A set of equations is given as

$\left\{\begin{array}{l}x\ge 0\\ y\ge 0\\ x+2y\ge 8\\ 2x-3y\ge 2\end{array}\right.$

Step 2. Graphing conditions

After plotting the conditions on the graph,

The graph is extended to infinity therefore the graph is unbounded.