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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

What Is The Solution Set For O S4 And X16 O S4 And S4 Os8 And S8 Ox16 And X16 8 class=

Sagot :

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