How is -9<-3x-6<6 represented in the number line?

Question

How is the inequality -9<-3x-6<6 represented on number line?

Answer 1

-9 < -3x - 6 < 6

-3 < -3x < 12

1 > x > -4

open circle on -4 and 1 and a line connecting.

Answer 2

-9 < -3x -6 < 6

-9 + 6 < -3x -6 +6 < 6 + 6

-15 < -3x < 12

-15 -3x 12

----- < ----- < ----

3 3 3

-5 < -x < 4

5 > x > -4 (multiply through by -1 and switch direction of inequality signs)

-4 < x < 5 (re-order to show common expression)