Solve the inequality.
-4 < 2x - 6 < 12
[?]

Hi ;-)

-4 ≤ 2x - 6 ≤ 12

2x - 6 ≥ -4  / + 6

2x ≥ 2  / : 2

x ≥ 1

2x - 6 ≤ 12  / + 6

2x ≤ 18  / : 2

x ≤ 9

1 ≤ x ≤ 9

Treat this as any other inequality and focus on getting the x by itself.

First add 6 to everything to eliminate the -6 in the middle:
-4 + 6 ≤ 2x-6 + 6 ≤ 12 + 6

- 2 ≤ 2x < 18

Then divide everything by 2 to get the 2 off the 2x.

-2 / 2 ≤ 2x / 2 ≤ 18/2

- 1 ≤ x ≤ 9