Question

How do you solve the inequality `6 <x - 6 <=8`?

Answer 1

`12 < x < 14`

Explanation:

When we talk about inequalities, its necessary for us to split it in two parts: `? < x` and `x < ?`.
In this case, we first have `6 < x -6` that becomes `12 < x` by passing the `-6` to the other side of the inequality.
Then, we solve the second part: `x - 6 < 8` that becomes `x < 14` by passing the `-6` to the other side of the inequality.
Now, we just need to join both parts, creating `12< x < 14`.