Chapter 6.6, Problem 1P

To determine

To graph: given system of inequalities.

Explanation of Solution

Given information: a system of inequalities is given as follows-

  $\begin{array}{l}y\ge -x+5\\ -3x+y\le -4\end{array}$

Graph:

  

Interpretation:

In order to draw the graph of $y\ge -x+5$ first draw the line $y=-x+5$ , this line divides the xy-plane into two parts, we can check the region which describes $y\ge -x+5$ by putting the value any point of that region the inequality $y\ge -x+5$ .

Similarly, we can draw the graph of $-3x+y\le -4$ .

The common region is the solution graph of given system of inequalities.