nelsongirlindya14 nelsongirlindya14
  • 22-10-2020
  • Mathematics
contestada

SOLVE
-36 < 3x-6 < -15

A) -3 B) -10 C) -10 D) -10

Respuesta :

gmany
gmany gmany
  • 22-10-2020

Answer:

[tex]\huge\boxed{-10<x<-3\to x\in(-10;\ -3)}[/tex]

Step-by-step explanation:

[tex]-36<3x-6<-15\qquad|\text{add 6 to all sides}\\\\-36+6<3x-6+6<-15+6\\\\-30<3x<-9\qquad|\text{divide both sides by 3}\\\\\dfrac{-30}{3}<\dfrac{3x}{3}<\dfrac{-9}{3}\\\\-10<x<-3\to x\in(-10;\ -3)[/tex]

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