Question

SOLVE
-36 < 3x-6 < -15

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

Answer 1

`\huge\boxed{-10<x<-3\to x\in(-10;\ -3)}`

Explanation:

`-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}\\\\(-30)/(3)<(3x)/(3)<(-9)/(3)\\\\-10<x<-3\to x\in(-10;\ -3)`