The given inequality needs to be represented on a number line.
The required image is attached.
The solution set is [tex]x\in (-\infty,-1)(1,\infty)[/tex]
Inequality
The given inequality is
[tex]|x|>1[/tex]
The [tex]|\ |[/tex] symbol indicates that whatever number is put, whether positive or negative the result will always be positive.
For example
[tex]|-3|=3>1[/tex]
This means that only numbers less than [tex]-1[/tex] and greater than [tex]+1[/tex] will represent the given inequality.
The lines on [tex]-1[/tex] and [tex]+1[/tex] will be broken lines as the inequality symbol is [tex]>[/tex] and not [tex]\geq[/tex]
Learn more about inequality:
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