Respuesta :

abidemiokin

Answer:

Step-by-step explanation:

Given the inequality

|x|> 1

The modulus of x shows that x can be both positive and negative value.

If x is positive:

x>1

1<x

If x is negative:

-x>1

Multiplying both sides of the inequality by minus will change the inequality sign

x < -1

Combining both inequalities:

1<x<-1

Find the position on the number line in the attachment

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boffeemadrid

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:

https://brainly.com/question/24372553

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