Now an inverter is just converting 12v power from your car/truck battery to 110 ac so you have to be careful not to drain the battery too much that it won't start your truck.
There is a small item can be added to your battery system that monitors the condition of your battery and when it gets down to a dangerous level, it will shut off the appliance and sound a warning whistle. It'll leave just enough juice in the battery to start the vehicle. Or buy one of those small jumpstarters to haul around just in case. I think their called a battery monitor, and they used to sell them at camper dealerships; probably get a better deal on the 'net now. I could run 2 florescent lights and a drill or sawzall for around an hour before I'd have to start the car.