Solve:

Question

−36<3x−6<−15

−10<x<−3

x<−10orx>−3

−10≤x≤−3

x≤−10orx≥−3

Answer 1

To solve this inequality, we will divide it into two separate inequalities and solve each individually.

The first inequality is -36 < 3x - 6.
Adding 6 to both sides, we get -30 < 3x.
Dividing by 3, we get -10 < x.

The second inequality is 3x - 6 < -15.
Adding 6 to both sides, we get 3x < -9.
Dividing by 3, we get x < -3.

Combining both results, we have -10 < x < -3.