# Chapter 1 - Summary Exercises - Reviewing a Chapter - Solving Linear and Absolute Value Equations and Inequalities: 41

the set of all real numbers

#### Work Step by Step

For any $x$, the left side of the given inequality, $|x-1|\ge-6 ,$ is a nonnegative number. This is always greater than or equal to the negative number at the right. Hence, the solution is $\text{ the set of all real numbers .}$

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