Respuesta :

alinakincsem

Answer:

The correct answer option is x = -16 and x = 16.

Step-by-step explanation:

We are given the following equation and we are to find the solution for this equation:

[tex] | \frac { x } { 2 } | = 8 [/tex]

For the given equation, involving the modulus, we will have a positive as well as a negative value for it in order to find its solution set.

[tex] \frac { x } { 2 } = - 8 [/tex] and [tex] \frac { x } { 2 } = 8 [/tex]

[tex] x = 8 \times 2 [/tex] and [tex] x = - 8 \times 2 [/tex]

x = -16 and x = 16

imlittlestar

Answer:

The correct answer is last option

x = -16 or x = 16

Step-by-step explanation:

it is given that,

|x/2| = 8

To find the solution set

From this we can understand that , the value of x/2 = - 8 or x/2 = 8

If x/2 = -8 then  x = -8 * 2 = = -16

If x/2 = 8 then x = 8 * 2 = 16

Therefore the solutions are

x = -16 or x = 16

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