Answer:
-13 < x < 13
Step-by-step explanation:
Recall that the definition of absolute value is as follows:
[tex]|x|=\left \{ {{x\,,\,\,\mbox{for}\,\,x\geq 0} \atop {-x\,,\,\,\mbox{for}\,\,x<0}} \right.[/tex]
So we just apply this to solve your inequality:
[tex]|x|<13\\\mbox{Case:} \,\,x\geq0\implies x<13\\\mbox{Case:} \,\,x<0\implies -x<13\implies x>-13\\\\\implies -13<x<13[/tex]
