Chapter 6.8, Problem 1ACYP

To determine

To calculate:

Given system of inequality:

  $\begin{array}{l}y\le 3\\ x+y\ge 1\end{array}$

Answer to Problem 1ACYP

The shaded area is solution of the given inequality shown by following graph:

  

Explanation of Solution

Given information:

  $\begin{array}{l}y\le 3\\ x+y\ge 1\end{array}$

Calculation:

Graph for the given inequality is as below:

  

Given system of inequality is,

  $\begin{array}{l}y\le 3\\ x+y\ge 1\end{array}$

Graph for each given inequality separately in above graph.

The graph of $x+y\ge 1$ is solid and it is included in the graph of the solution.

The solution to the system will be the area where the shadings from each inequality overlap one another.

The solution of the system is the set of ordered pairs in the intersection of the graphs of $y\le 3$ and $x+y\ge 1$ a the region is shaded.