Chapter 8.9, Problem 36E

To determine

To graph:

The given system of inequalities. Draw both graphs in the same coordinate plane, and use a different color for each graph.

Answer to Problem 36E

The graph of our given system of inequalities would look like:

  

Explanation of Solution

Given:

A system of linear inequalities: $\begin{array}{l}y<x+3\\ y\ge -2x-3\end{array}$

Calculation:

We can see that boundary line of both inequalities is in slope-intercept form. The boundary line of inequality $y<x+3$ would be a dotted line as we have a less than sign. The boundary line of inequality $y\ge -2x-3$ would be a solid line as we have a greater than or equal to sign.

Upon graphing our given system on inequalities in the same coordinate plane, we will get our required graph as shown below: