Chapter 1, Problem 65SGA

To determine

To graph: $y>\left|x\right|-2$

Answer to Problem 65SGA

  

Explanation of Solution

Given information:

  $y>\left|x\right|-2$

Calculation:

First graph the line for $y=\left|x\right|-2$ . Greater than sign $(>)$ means use dotted line.

  

Now, choose a test point on each side of the line as shown below.

True test point $\left(0,0\right)$	$\begin{array}{l}0>\left|0\right|-2\\ 0>-2\end{array}$
False test point $\left(0,-3\right)$	$\begin{array}{l}-3>\left|0\right|-2\\ -3>-2\end{array}$

Shade the side of above graph with the true test point as shown below.