The question is asking for an absolute value inequality that represents all real numbers less than \(4\) units from \(6\) in any direction on the number line.
This can be written as \(2 \ \textless \ |x| \ \textless \ 10\).
\(4\) numbers from \(6\) to the left is or \(6-2\), or \(4\). \(4\) numbers to the right of \(6\) is \(6+4\), or \(10\). Therefore, the inequality can only allow real numbers whose absolute values fall between \(2\) and \(10\).
