Chapter 1, Problem 63SGA

To determine

To graph: $y\le \text{ |}x|$

Answer to Problem 63SGA

  

Explanation of Solution

Given information:

  $y\le \text{ |}x|$

Calculation:

First graph the line for $y\le \text{ |}x|$ . Less than or equal to sign $(\le )$ means use solid line.

  

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

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

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