rodriguezraul09 rodriguezraul09
  • 10-06-2018
  • Mathematics
contestada

5.
Solve the following inequality. |x| > 2



A.



 
-2 < x < 2
 


B.



 
x > 2
 


C.



 
x > 2 or x < -2
 


D.



 
x < 2 or x > -2
 

Respuesta :

spotlight spotlight
  • 10-06-2018
Think of it this way...
You could use the pithagoras theorem to get the distance to the origin, but since you're working on one single axis, the distance is just
[tex] \sqrt{ {x}^{2} } = |x| [/tex]
You're told the distance is greater than 2
[tex] |x| > 2[/tex]
So, you're getting every value for
[tex] x > 2 \\ x < - 2[/tex]
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