To solve the inequality -3 < 5x + 7/4 < 2, first we want to isolate the variable x.

-3 < 5x + 7/4 < 2
Subtract 7/4 from all parts of the inequality:
-3 - 7/4 < 5x + 7/4 - 7/4 < 2 - 7/4
-3 4/4 < 5x < 2 7/4

-15/4 < 5x < 15/4

Now, divide all parts of the inequality by 5 to isolate x:
-15/4 < 5x < 15/4
-15/20 < x < 15/20
-3/4 < x < 3/4

Therefore, the solution to the inequality is: -3/4 < x < 3/4.