Good try Yang Shizzle but you made a little mistake . :(
4<2(1-3x)<10
Divide all by 2
2 < 1-3x < 5
subtract 1 from all three"sides"
1 < -3x < 4
now seperate
1< -3x and -3x<4
divide by -1 which means you have to turn the signs around
-1>+3x and 3x>-4
3x<-1 and x>-4/3
x<-1/3 and -4/3 <x
swap the order
-4/4< x and x<-1/3
-4/3 < x < -1/3