Tran Rojas
05/09/2023 · Junior High School
ionvert each of the following sentences into an absolute value inequality: a) All real numbers \( x \) less than 4 units from 8 .
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Tutor-Verified Answer
Step-by-step Solution
To convert the sentence "All real numbers \( x \) less than 4 units from 8" into an absolute value inequality, we start by understanding that being "less than 4 units from 8" means the distance between \( x \) and 8 is less than 4.
This can be expressed using absolute value as follows:
\[
|x - 8| < 4
\]
So, the absolute value inequality for the given sentence is:
\[
|x - 8| < 4
\]
Quick Answer
\[
|x - 8| < 4
\]
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