Chapter 3.3, Problem 6CYU

To determine

To find: The coordinates of the vertices of the triangle formed by the given system of inequalities.

Answer to Problem 6CYU

  $\left(-4,4\right),\left(3.013,5.169\right)$ and $\left(2,-8\right)$ are coordinate of the triangle.

Explanation of Solution

Given:

  $\begin{array}{l}y\ge -2x-4\\ 6y\le x+28\\ y\ge 13x-34\end{array}$

$y\ge -2x-4,6y\le x+28$ and $y\ge 13x-34$ is given mathematical expression and it has to find the coordinate of triangle.

Now graph of the inequalities are

  

By graphing $\left(-4,4\right),\left(3.013,5.169\right)$ and $\left(2,-8\right)$ are the coordinates of the triangle which formed by given inequalities.

Hence, $\left(-4,4\right),\left(3.013,5.169\right)$ and $\left(2,-8\right)$ are coordinate of the triangle.