Respuesta :

Explanation

Given the question

[tex]|x|<13[/tex]

To get the values of x, we will consider two possibilities which are:

[tex]\begin{gathered} x\text{ being positive},\text{ so that} \\ x<13 \end{gathered}[/tex]

And

[tex]\begin{gathered} x\text{ being negative} \\ -x<13 \\ x>-13 \end{gathered}[/tex]

Therefore, the value of x is

[tex]\begin{bmatrix}\mathrm{Solution\colon}\: & \: -13

So the correct option is

[tex]\begin{bmatrix}\mathrm{Solution\colon}\mleft\lbrace x|\: \mright? & \: -13Option A is correct

The first option is correct