Chapter B, Problem 31E

To determine

To sketch: The region in the xy-plane.

Explanation of Solution

Given:

The region is $\left\{\left(x,y\right)|x\le 2\right\}$.

Calculation:

$\begin{array}{l}\left\{\left(x,y\right)|\left|x\right|\le 2\right\}\\ \left\{\left(x,y\right)|-2\le x\le 2\right\}\end{array}$

Graph:

The given region is sketched in the graph as shown below in Figure 1.

From Figure 1, it is observed that the region contains all the values of y-axis which present between -2 to 2 of x-axis.