## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

The solutions to the inequality, $|x|\ge6$ include the interval $(-\infty, -6].$ Hence, $[6,\infty)$ is only part of the solution of $|x|\ge6.$
The solutions of the inequality $|x|\ge c,$ where $c$ is a positive constant are the intervals $(-\infty,-c]$ and $[c,\infty).$