To solve the inequality, we need to isolate x in the middle part of the inequality:

-1 < 3x - 1/4 < 2

First, let's add 1 to all parts of the inequality:

-1 + 1 < 3x - 1/4 + 1 < 2 + 1
0 < 3x - 1/4 < 3

Next, let's add 1/4 to all parts of the inequality:

0 + 1/4 < 3x - 1/4 + 1/4 < 3 + 1/4
1/4 < 3x < 3 1/4

Now, divide each part by 3 to isolate x:

1/4 / 3 < 3x / 3 < 13/4 / 3
1/12 < x < 13/12

Therefore, the solution to the inequality is 1/12 < x < 13/12.