- 3 / 4 x > -12?

- 3 / (4 x) > -12
-3 > -12(4x)
-3 > -48x
48x > 3
x > 3/48
x>1/16;

- 3 / (4 x) > -12
- 3 > -12(4x)
- 3 > -48x
3/48<x
x>1/16

BUT if you mean
(- 3 /4) x > -12
then
x>(-12)(-4/3)
x<16

Multiply both sides by 4 and don't forget to change the inequality sign:

-3/4x > -12
-3x > -48
x < 16

Whenever you divide both sides of the problem by a negative you change the sign in an inequality problem.

Multiply by 4 and divide by (-3) and change the sign:

- 3 / 4 x > -12 |4
-3x>-48 |:(-3)
x<16

Do you mean :-
(-3/4) x > - 12 and NOT as you have given ???
(3/4) x < 12
3x < 48
x < 16

(-3/4)x > -12
-3x/4 > -12
-3x > 4(-12)
-3x > -48
x < -48/-3
x < 16

- 3 / 4 x > -12
-3 > -12(4x)
-3 > -48x
-3/-48 < x
x > 1/18