Chapter 6.8, Problem 38HP

To determine

To create: The system of inequalities

Answer to Problem 38HP

The system of equations is $x\le 4andx\ge -4$

Explanation of Solution

Given:

  $\left|x\right|\le 4$

Calculation:

Here the inequality equation is

  $\left|x\right|\le 4$

The graph will be

  

Using a pair of linear equations, this would be shown as all the points between the lines $x=-4andx=4$

This could be expressed by the system of equations $x\le 4andx\ge -4$

Conclusion:

Hence,the system of equations is $x\le 4andx\ge -4$