Solve.

-1.5x-3.1<5.5

-1.5x - 3.1 < 5.5

Add 3.1 to both sides:

-1.5x < 8.6

Divide by - 1.5 (and must reverse the inequality since dividing by a negative):

x > - 8.6/1.5

x > - 5.73333 ...

x > - 5.73 (rounded to nearest hundredth)

The answer is x > - 5.73 (rounded to hundredth)