Answer
$-8\lt f\lt-4$
Work Step by Step
$|f+6|\lt2$ implies $-2\lt f+6\lt2\\-8\lt f\lt-4$.
Then, by using a graphing utility, the solution set is attached.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/f58b34e2-0cc5-4879-b270-cc406f2fe6d0/steps_image/small_1572784615.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T000018Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=0feb67e8d928ea164b970ac2606f4b84763eace9b314e1a498fe9631c2c53be2)
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