Chapter 3.3, Problem 19PPS

To determine

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

Answer to Problem 19PPS

  $\left(-7,8\right),\left(5,8\right)$ and $\left(2,-1\right)$ are coordinate of the triangle.

Explanation of Solution

Given:

  $\begin{array}{l}y\ge 3x-7\\ y\le 8\\ x+y>1\end{array}$

$y\ge 3x-7,y\le 8$ and $x+y>1$ are given mathematical expression and it has to find the coordinate of triangle.

Now graph of the inequalities are

  

By graphing $\left(-7,8\right),\left(5,8\right)$ and $\left(2,-1\right)$ are the coordinates of the triangle which formed by given inequalities.

Hence, $\left(-7,8\right),\left(5,8\right)$ and $\left(2,-1\right)$ are coordinate of the triangle.