melissabarraza11 melissabarraza11

19-12-2018
Mathematics

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Solve this absolute value inequality.

{14-2x]<8

Respuesta :

24-12-2018

[tex]|14-2x|<8\iff14-2x<8\ \wedge\ 14-2x>-8\qquad\text{subtract 14 from both sides}\\\\-2x<-6\ \wedge\ -2x>-22\qquad\text{change the signs}\\\\2x>6\ \wedge\ 2x<22\qquad\text{divide both sides by 2}\\\\x>3\ \wedge\ x<11[/tex]

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