Chapter 6.8, Problem 11PPS

To determine

To calculate:

Given system of inequality:

  $\begin{array}{l}y\ge 0\\ y\le x-5\end{array}$

Answer to Problem 11PPS

Solution of the function will be area under shaded region shown by graph:

  

Explanation of Solution

Given information:

  $\begin{array}{l}y\ge 0\\ y\le x-5\end{array}$

Calculation:

Graph for the given inequality is as below:

  

Given system of inequality is,

  $\begin{array}{l}y\ge 0\\ y\le x-5\end{array}$

The above graph of $y\ge 0$ and $y\le x-5$ are not parallel lines.

So, the two regions intersect at any point.

Given inequalities intersect at $\left(3,0\right)$

The given system of inequalities has a solution.