Which is the solution set to the following inequality? - 6x - 3>-12

-6x - 3 > - 12

=>> - 6x > - 12+3

=>>-6x > - 9

=>> - x > - 9/6 (simplify by 3)

=>> - x> - 3/2 (multiply by (-1) because you can't leave the answer with (-x)

=>> x < 3/2

the solution is x < 3/2.

if you want to write it in interval form : X behoves to ] - infinity; 3/2].