Solve: -1÷4<3÷4(3x-2)<1÷2 ?

To solve this inequality, we need to simplify the expression first:

-1/4 < 3/4(3x-2) < 1/2

-1/4 < 9x/4 - 3/2 < 1/2

Now, we can multiply all parts of the inequality by 4 to get rid of the fractions:

-1 < 9x - 6 < 2

Next, we can add 6 to all parts of the inequality:

5 < 9x < 8

Finally, divide by 9 to solve for x:

5/9 < x < 8/9

Therefore, the solution to the inequality is 5/9 < x < 8/9.