Final answer:
Landfill and incineration are the two primary methods of waste disposal, each with its own drawbacks.
Step-by-step explanation:
The two primary methods of waste disposal are landfill and incineration. Landfills involve burying waste in the ground, while incineration involves burning waste at high temperatures. Both methods have their drawbacks, such as the release of pollutants into the air in the case of incineration and the potential for groundwater contamination in landfills.