How do you solve and inequality with two signs?

Split it into two parts, solve each part as if it had an "=" sign instead of an inequality.

Ex: -6<3x+2<12

-6<3x+2; -8<3x; -8/3<x

Other side--

3x+2<12; 3x<10; x<10/3

Then put them back together.

-8/3<x<10/3

*Make sure you remember to switch the direction of the inequality symbol if you are dividing by a negative number.*