Answer:
[tex]\large\boxed{x>-\dfrac{86}{15}\to x\in\left(-\dfrac{86}{15},\ \infty\right)}[/tex]
Step-by-step explanation:
[tex]-1.5x-3.1<5.5\qquad\text{multiply both sides by 10}\\\\-15x-31<55\qquad\text{add 31 to both sides}\\\\-15x<86\qquad\text{change the signs}\\\\15x>-86\qquad\text{divide both sides by 15}\\\\x>-\dfrac{86}{15}[/tex]
