Chapter 5.7, Problem 14E

To determine

To sketch: the graph of the linear inequalities.

Explanation of Solution

Given information:

Given inequalities

  $\begin{array}{l}y<x-1\\ y\ge x+1\end{array}$

Calculation:

Graph the inequalities $y<x-1$ and $y\ge x+1$ as shown in the below figure.

  

Therefore, the graph of system of linear inequalities is drawn.

There is no common solution region for the graph.

The shaded region is unbounded.

The inequality $y<x-1$ will define the lower side of origin and the inequality $y\ge x+1$ will define the upper side of the origin.