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