Answer
$g\gt1$ or $g\lt1$
Work Step by Step
$|g-1|\gt0$ implies $g-1\gt0\\g\gt1$ or $g-1\lt0\\g\lt1$.
Thus $g\gt1$ or $g\lt1$.
Then, by using a graphing utility, the solution set is attached.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/1ef14215-6e03-48c1-ad33-d562be9401b9/steps_image/small_1572784866.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T014622Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=3b1508ac9e99f27d57d16d5b6f994456944306dfbe36a9f49eea213641a9cee3)
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