Chapter 13.4, Problem 8PSC

(a)

To determine

To plot: The graph each inequalities.

Answer to Problem 8PSC

The graph is shown below.

Explanation of Solution

Given:

The given inequalities is:

  $\left|x+y\right|\le 4$

Graph is described as:

  $\left|0+0\right|\le 4\left[\text{true}\right]$

The table for the line graph $x+y=4$ is given as:

$x$	$0$	$4$
$y$	$4$	$0$

The graph is given as:

  

Therefore, the graph is shown above.

(b)

To determine

To plot: The graph each inequality.

Answer to Problem 8PSC

The graph is shown below.

Explanation of Solution

Given:

The given inequality is:

  $\left|x\right|+\left|y\right|\le 4$

Graph is described as:

  $\begin{array}{c}\left|x\right|+\left|y\right|\le 4\\ 0+0\le 4\left[\text{true}\right]\end{array}$

The table for the line graph $\left|x\right|+\left|y\right|=4$ is given as:

$x$	$0$	$\pm 4$
$y$	$\pm 4$	$0$

The graph is given as:

  

Therefore, the graph is shown above.