Answer:
4th option
Step-by-step explanation:
the absolute value function always gives a positive result, however, the expression inside can be positive or negative, that is
[tex]\frac{x}{2}[/tex] = 8 or - [tex]\frac{x}{2}[/tex] = 8
solving each equation
[tex]\frac{x}{2}[/tex] = 8 ( multiply both sides by 2 to clear the fraction )
x = 2 × 8 = 16
or
- [tex]\frac{x}{2}[/tex] = 8 ( multiply both sides by 2 )
- x = 16 ( multiply both sides by - 1 )
x = - 16
then x = - 16 , x = 16
