Question

What is the solution set for |x/2|=8

Answer 1

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:

$| \frac { x } { 2 } | = 8$

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.

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

$x = 8 \times 2$ and $x = - 8 \times 2$

x = -16 and x = 16

Answer 2

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