1. 3 Part Inequality question

It doesn't look too hard and probably isn't for you guys but I just cant seem to be able to get around it (the " / " represent fractions)

Solve:
-2 < x/2 < 1-2x/3

I'm able to simplify it to :
-12 < 3x < 6-4x

But after that I'm pretty much stuck, main problem for me I think is that there's two X terms there and I don't know what to do with :\

2. Originally Posted by Supaweak
It doesn't look too hard and probably isn't for you guys but I just cant seem to be able to get around it (the " / " represent fractions)

Solve:
-2 < x/2 < 1-2x/3

I'm able to simplify it to :
-12 < 3x < 6-4x

But after that I'm pretty much stuck, main problem for me I think is that there's two X terms there and I don't know what to do with :\

-12 < 3x < 6-4x is same as saying -12 < 3x and 3x < 6-4x. But this means -4 < x and 7x < 6. Thus -4 < x and x < 6/7, which is the same as saying -4 < x < 6/7

3. Thanks isomorphism! I get it now