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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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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