Write an absoolute value inequality that represents, "all real numbers less than 4 units from 6 on a number line."

The question is asking for an absolute value inequality that represents all real numbers less than  units from  in any direction on the number line.

This can be written as .

 numbers from  to the left is or , or .  numbers to the right of  is , or . Therefore, the inequality can only allow real numbers whose absolute values fall between  and .