Answer:
An absolute value equation that represents the minimum and maximum heights 24 ≤ x ≤ 92.
Step-by-step explanation:
First we have to know about the middle number. The middle number between 24 and 92 is :
[tex]\frac {(24+92)}{2}= 58.[/tex]
Now positive difference is: 58-24=34 and 92-58=34.
Thus the height of a woman x, can vary at most 34, from 58. That is the height of a woman can be 34 ft less or more than 58.
In absolute value notation this is expressed as:
x-58≤34
what this means is that:
x-58≤34 or 58-x≤34
Further solving the equation gives: |x-58|≤34 ;
24≤x≤92
