Answer:
C
Step-by-step explanation:
The recommended daily intake of a nutrients supplement for a certain age group is 800 mg per day.
Actully supplements needs vary from person to person plus or minus 50 mg.
This means the minimum value is 800 - 50 = 750 mg per day and the maximum value is 800 + 50 = 850 mg per day.
Let x mg be a possible daily amount of nutrients supplement. Then
[tex]750\le x\le 850[/tex]
Subtract 800:
[tex]750-800\le x-800\le 850-800\\ \\-50\le x-800\le 50[/tex]
This inequality can be rewritten using absolute value notation as
[tex]|x-800|\le 50[/tex]