Question

What is the solution set for

O s-4 and x-16
O s--4 and s-4
Os--8 and s-8
Ox--16 and x-16
||-8₂

Answer 1

4th option

Explanation:

the absolute value function always gives a positive result, however, the expression inside can be positive or negative, that is

`(x)/(2)` = 8 or -
`(x)/(2)` = 8

solving each equation

`(x)/(2)` = 8 ( multiply both sides by 2 to clear the fraction )

x = 2 × 8 = 16

or

-
`(x)/(2)` = 8 ( multiply both sides by 2 )

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

x = - 16

then x = - 16 , x = 16