Question

What is the solution set for

Answer 1

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

$\frac{x}{2}$ = 8 or - $\frac{x}{2}$ = 8

solving each equation

$\frac{x}{2}$ = 8 ( multiply both sides by 2 to clear the fraction )

x = 2 × 8 = 16

or

- $\frac{x}{2}$ = 8 ( multiply both sides by 2 )

- x = 16 ( multiply both sides by - 1 )

x = - 16

then x = - 16 , x = 16