Answer: Last option.
Step-by-step explanation:
Given the inequality [tex]|x| > 5[/tex] you need to set up two posibilities. These posibilities are the following:
- FIRST POSIBILITY :
[tex]x>5[/tex]
- SECOND POSIBILTY:
[tex]x<-5[/tex]
Then you get that:
[tex]x<-5\ or\ x>5 [/tex]
Therefore, through this procedure, you get that the solution set of the inequality [tex]|x| > 5[/tex] is this:
{[tex]x|x<-5\ or\ x>5[/tex]}
