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

Dec 28, 2015

$12 < x < 14$
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 $12 < x < 14$.