Question

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

Answer 1

The correct answer is last option

x = -16 or x = 16

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

Answer 2

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

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 * 2` and
`x = - 8 * 2`

x = -16 and x = 16